Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [392,2,Mod(37,392)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(392, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 21, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("392.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 392 = 2^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 392.z (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.13013575923\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 109.5 | ||
Character | \(\chi\) | \(=\) | 392.109 |
Dual form | 392.2.z.a.205.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(297\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{20}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.31212 | + | 0.527576i | −0.927810 | + | 0.373052i | ||||
\(3\) | 0.371894 | + | 2.46736i | 0.214713 | + | 1.42453i | 0.793262 | + | 0.608881i | \(0.208381\pi\) |
−0.578549 | + | 0.815648i | \(0.696381\pi\) | |||||||
\(4\) | 1.44333 | − | 1.38449i | 0.721664 | − | 0.692244i | ||||
\(5\) | 1.53857 | + | 0.603845i | 0.688071 | + | 0.270048i | 0.683509 | − | 0.729942i | \(-0.260453\pi\) |
0.00456136 | + | 0.999990i | \(0.498548\pi\) | |||||||
\(6\) | −1.78969 | − | 3.04127i | −0.730637 | − | 1.24159i | ||||
\(7\) | 2.53791 | − | 0.747686i | 0.959238 | − | 0.282599i | ||||
\(8\) | −1.16340 | + | 2.57808i | −0.411324 | + | 0.911489i | ||||
\(9\) | −3.08282 | + | 0.950925i | −1.02761 | + | 0.316975i | ||||
\(10\) | −2.33737 | + | 0.0193953i | −0.739141 | + | 0.00613334i | ||||
\(11\) | −0.767062 | + | 2.48676i | −0.231278 | + | 0.749785i | 0.763323 | + | 0.646017i | \(0.223566\pi\) |
−0.994601 | + | 0.103768i | \(0.966910\pi\) | |||||||
\(12\) | 3.95279 | + | 3.04632i | 1.14107 | + | 0.879397i | ||||
\(13\) | 6.17046 | − | 1.40837i | 1.71138 | − | 0.390610i | 0.749051 | − | 0.662512i | \(-0.230510\pi\) |
0.962325 | + | 0.271902i | \(0.0876525\pi\) | |||||||
\(14\) | −2.93558 | + | 2.31999i | −0.784567 | + | 0.620044i | ||||
\(15\) | −0.917715 | + | 4.02077i | −0.236953 | + | 1.03816i | ||||
\(16\) | 0.166388 | − | 3.99654i | 0.0415969 | − | 0.999134i | ||||
\(17\) | 1.72613 | − | 1.17685i | 0.418647 | − | 0.285429i | −0.335619 | − | 0.941998i | \(-0.608945\pi\) |
0.754266 | + | 0.656569i | \(0.227993\pi\) | |||||||
\(18\) | 3.54335 | − | 2.87415i | 0.835177 | − | 0.677444i | ||||
\(19\) | 1.99327 | − | 1.15081i | 0.457287 | − | 0.264015i | −0.253616 | − | 0.967305i | \(-0.581620\pi\) |
0.710903 | + | 0.703290i | \(0.248286\pi\) | |||||||
\(20\) | 3.05668 | − | 1.25859i | 0.683495 | − | 0.281429i | ||||
\(21\) | 2.78864 | + | 5.98386i | 0.608531 | + | 1.30578i | ||||
\(22\) | −0.305473 | − | 3.66761i | −0.0651270 | − | 0.781937i | ||||
\(23\) | −4.07160 | − | 2.77597i | −0.848987 | − | 0.578830i | 0.0587959 | − | 0.998270i | \(-0.481274\pi\) |
−0.907783 | + | 0.419441i | \(0.862226\pi\) | |||||||
\(24\) | −6.79371 | − | 1.91175i | −1.38676 | − | 0.390234i | ||||
\(25\) | −1.66268 | − | 1.54274i | −0.332536 | − | 0.308549i | ||||
\(26\) | −7.35337 | + | 5.10333i | −1.44211 | + | 1.00085i | ||||
\(27\) | −0.244841 | − | 0.508417i | −0.0471196 | − | 0.0978449i | ||||
\(28\) | 2.62787 | − | 4.59286i | 0.496620 | − | 0.867968i | ||||
\(29\) | −0.406906 | + | 0.844948i | −0.0755605 | + | 0.156903i | −0.935327 | − | 0.353784i | \(-0.884895\pi\) |
0.859767 | + | 0.510687i | \(0.170609\pi\) | |||||||
\(30\) | −0.917109 | − | 5.75991i | −0.167440 | − | 1.05161i | ||||
\(31\) | −3.84883 | + | 6.66636i | −0.691270 | + | 1.19731i | 0.280153 | + | 0.959955i | \(0.409615\pi\) |
−0.971422 | + | 0.237359i | \(0.923718\pi\) | |||||||
\(32\) | 1.89016 | + | 5.33173i | 0.334136 | + | 0.942525i | ||||
\(33\) | −6.42098 | − | 0.967807i | −1.11775 | − | 0.168474i | ||||
\(34\) | −1.64401 | + | 2.45484i | −0.281945 | + | 0.421001i | ||||
\(35\) | 4.35624 | + | 0.382133i | 0.736339 | + | 0.0645922i | ||||
\(36\) | −3.13298 | + | 5.64063i | −0.522163 | + | 0.940104i | ||||
\(37\) | −5.68048 | + | 0.425693i | −0.933864 | + | 0.0699835i | −0.532964 | − | 0.846138i | \(-0.678922\pi\) |
−0.400901 | + | 0.916122i | \(0.631303\pi\) | |||||||
\(38\) | −2.00827 | + | 2.56161i | −0.325784 | + | 0.415548i | ||||
\(39\) | 5.76970 | + | 14.7009i | 0.923891 | + | 2.35404i | ||||
\(40\) | −3.34674 | + | 3.26405i | −0.529166 | + | 0.516092i | ||||
\(41\) | −6.63484 | − | 8.31983i | −1.03619 | − | 1.29934i | −0.953054 | − | 0.302801i | \(-0.902078\pi\) |
−0.0831344 | − | 0.996538i | \(-0.526493\pi\) | |||||||
\(42\) | −6.81597 | − | 6.38033i | −1.05173 | − | 0.984506i | ||||
\(43\) | −4.22854 | − | 3.37215i | −0.644846 | − | 0.514247i | 0.245580 | − | 0.969376i | \(-0.421022\pi\) |
−0.890426 | + | 0.455129i | \(0.849593\pi\) | |||||||
\(44\) | 2.33576 | + | 4.65119i | 0.352129 | + | 0.701193i | ||||
\(45\) | −5.31736 | − | 0.398481i | −0.792665 | − | 0.0594020i | ||||
\(46\) | 6.80697 | + | 1.49433i | 1.00363 | + | 0.220327i | ||||
\(47\) | −3.14157 | + | 2.91495i | −0.458245 | + | 0.425189i | −0.875217 | − | 0.483730i | \(-0.839282\pi\) |
0.416972 | + | 0.908919i | \(0.363091\pi\) | |||||||
\(48\) | 9.92276 | − | 1.07575i | 1.43223 | − | 0.155271i | ||||
\(49\) | 5.88193 | − | 3.79511i | 0.840276 | − | 0.542159i | ||||
\(50\) | 2.99556 | + | 1.14708i | 0.423636 | + | 0.162221i | ||||
\(51\) | 3.54565 | + | 3.82130i | 0.496490 | + | 0.535089i | ||||
\(52\) | 6.95612 | − | 10.5757i | 0.964640 | − | 1.46658i | ||||
\(53\) | −0.170743 | − | 0.0127954i | −0.0234534 | − | 0.00175759i | 0.0629982 | − | 0.998014i | \(-0.479934\pi\) |
−0.0864516 | + | 0.996256i | \(0.527553\pi\) | |||||||
\(54\) | 0.589489 | + | 0.537933i | 0.0802193 | + | 0.0732034i | ||||
\(55\) | −2.68180 | + | 3.36287i | −0.361613 | + | 0.453449i | ||||
\(56\) | −1.02500 | + | 7.41278i | −0.136972 | + | 0.990575i | ||||
\(57\) | 3.58076 | + | 4.49012i | 0.474283 | + | 0.594732i | ||||
\(58\) | 0.0881354 | − | 1.32335i | 0.0115727 | − | 0.173764i | ||||
\(59\) | −6.28830 | + | 2.46798i | −0.818667 | + | 0.321303i | −0.737457 | − | 0.675394i | \(-0.763974\pi\) |
−0.0812099 | + | 0.996697i | \(0.525878\pi\) | |||||||
\(60\) | 4.24215 | + | 7.07386i | 0.547659 | + | 0.913231i | ||||
\(61\) | −0.0851461 | + | 0.00638082i | −0.0109018 | + | 0.000816980i | −0.0801799 | − | 0.996780i | \(-0.525549\pi\) |
0.0692781 | + | 0.997597i | \(0.477930\pi\) | |||||||
\(62\) | 1.53312 | − | 10.7776i | 0.194706 | − | 1.36876i | ||||
\(63\) | −7.11292 | + | 4.71834i | −0.896144 | + | 0.594455i | ||||
\(64\) | −5.29301 | − | 5.99867i | −0.661626 | − | 0.749834i | ||||
\(65\) | 10.3441 | + | 1.55913i | 1.28303 | + | 0.193386i | ||||
\(66\) | 8.93570 | − | 2.11767i | 1.09991 | − | 0.260668i | ||||
\(67\) | 0.684910 | + | 0.395433i | 0.0836751 | + | 0.0483099i | 0.541254 | − | 0.840859i | \(-0.317950\pi\) |
−0.457579 | + | 0.889169i | \(0.651283\pi\) | |||||||
\(68\) | 0.862026 | − | 4.08838i | 0.104536 | − | 0.495789i | ||||
\(69\) | 5.33510 | − | 11.0785i | 0.642271 | − | 1.33369i | ||||
\(70\) | −5.91752 | + | 1.79684i | −0.707279 | + | 0.214764i | ||||
\(71\) | 12.8656 | − | 6.19575i | 1.52687 | − | 0.735300i | 0.533023 | − | 0.846101i | \(-0.321056\pi\) |
0.993843 | + | 0.110801i | \(0.0353417\pi\) | |||||||
\(72\) | 1.13499 | − | 9.05407i | 0.133760 | − | 1.06703i | ||||
\(73\) | −7.91929 | − | 7.34803i | −0.926883 | − | 0.860022i | 0.0635553 | − | 0.997978i | \(-0.479756\pi\) |
−0.990438 | + | 0.137957i | \(0.955947\pi\) | |||||||
\(74\) | 7.22889 | − | 3.55544i | 0.840341 | − | 0.413312i | ||||
\(75\) | 3.18816 | − | 4.67617i | 0.368137 | − | 0.539957i | ||||
\(76\) | 1.28365 | − | 4.42066i | 0.147245 | − | 0.507084i | ||||
\(77\) | −0.0874195 | + | 6.88467i | −0.00996238 | + | 0.784581i | ||||
\(78\) | −15.3264 | − | 16.2455i | −1.73537 | − | 1.83944i | ||||
\(79\) | 5.88861 | + | 10.1994i | 0.662521 | + | 1.14752i | 0.979951 | + | 0.199238i | \(0.0638466\pi\) |
−0.317431 | + | 0.948281i | \(0.602820\pi\) | |||||||
\(80\) | 2.66929 | − | 6.04849i | 0.298436 | − | 0.676242i | ||||
\(81\) | −6.83332 | + | 4.65888i | −0.759258 | + | 0.517654i | ||||
\(82\) | 13.0951 | + | 7.41625i | 1.44611 | + | 0.818987i | ||||
\(83\) | −5.33158 | − | 1.21690i | −0.585217 | − | 0.133572i | −0.0803465 | − | 0.996767i | \(-0.525603\pi\) |
−0.504871 | + | 0.863195i | \(0.668460\pi\) | |||||||
\(84\) | 12.3095 | + | 4.77583i | 1.34308 | + | 0.521085i | ||||
\(85\) | 3.36641 | − | 0.768360i | 0.365138 | − | 0.0833404i | ||||
\(86\) | 7.32742 | + | 2.19379i | 0.790136 | + | 0.236563i | ||||
\(87\) | −2.23611 | − | 0.689750i | −0.239737 | − | 0.0739489i | ||||
\(88\) | −5.51866 | − | 4.87064i | −0.588291 | − | 0.519212i | ||||
\(89\) | 1.73014 | − | 0.533679i | 0.183395 | − | 0.0565698i | −0.201698 | − | 0.979448i | \(-0.564646\pi\) |
0.385092 | + | 0.922878i | \(0.374170\pi\) | |||||||
\(90\) | 7.18725 | − | 2.28246i | 0.757603 | − | 0.240592i | ||||
\(91\) | 14.6070 | − | 8.18786i | 1.53123 | − | 0.858321i | ||||
\(92\) | −9.71994 | + | 1.63045i | −1.01337 | + | 0.169986i | ||||
\(93\) | −17.8796 | − | 7.01724i | −1.85403 | − | 0.727654i | ||||
\(94\) | 2.58426 | − | 5.48219i | 0.266546 | − | 0.565444i | ||||
\(95\) | 3.76170 | − | 0.566986i | 0.385943 | − | 0.0581715i | ||||
\(96\) | −12.4523 | + | 6.64653i | −1.27091 | + | 0.678358i | ||||
\(97\) | −0.317284 | −0.0322154 | −0.0161077 | − | 0.999870i | \(-0.505127\pi\) | ||||
−0.0161077 | + | 0.999870i | \(0.505127\pi\) | |||||||
\(98\) | −5.71560 | + | 8.08282i | −0.577363 | + | 0.816488i | ||||
\(99\) | − | 8.39565i | − | 0.843794i | ||||||
\(100\) | −4.53570 | + | 0.0752790i | −0.453570 | + | 0.00752790i | ||||
\(101\) | 2.44347 | + | 16.2113i | 0.243134 | + | 1.61309i | 0.693644 | + | 0.720318i | \(0.256004\pi\) |
−0.450510 | + | 0.892771i | \(0.648758\pi\) | |||||||
\(102\) | −6.66835 | − | 3.14341i | −0.660265 | − | 0.311244i | ||||
\(103\) | 6.65813 | − | 16.9646i | 0.656045 | − | 1.67158i | −0.0818371 | − | 0.996646i | \(-0.526079\pi\) |
0.737882 | − | 0.674930i | \(-0.235826\pi\) | |||||||
\(104\) | −3.54782 | + | 17.5464i | −0.347892 | + | 1.72057i | ||||
\(105\) | 0.677202 | + | 10.8905i | 0.0660881 | + | 1.06280i | ||||
\(106\) | 0.230786 | − | 0.0732908i | 0.0224160 | − | 0.00711863i | ||||
\(107\) | 3.63296 | + | 11.7778i | 0.351212 | + | 1.13860i | 0.943080 | + | 0.332566i | \(0.107914\pi\) |
−0.591868 | + | 0.806035i | \(0.701609\pi\) | |||||||
\(108\) | −1.05728 | − | 0.394833i | −0.101737 | − | 0.0379928i | ||||
\(109\) | 4.08949 | − | 13.2578i | 0.391702 | − | 1.26987i | −0.518276 | − | 0.855213i | \(-0.673426\pi\) |
0.909979 | − | 0.414655i | \(-0.136098\pi\) | |||||||
\(110\) | 1.74468 | − | 5.82734i | 0.166348 | − | 0.555615i | ||||
\(111\) | −3.16287 | − | 13.8574i | −0.300206 | − | 1.31529i | ||||
\(112\) | −2.56588 | − | 10.2672i | −0.242453 | − | 0.970163i | ||||
\(113\) | 3.68853 | − | 16.1605i | 0.346988 | − | 1.52025i | −0.436991 | − | 0.899466i | \(-0.643956\pi\) |
0.783979 | − | 0.620787i | \(-0.213187\pi\) | |||||||
\(114\) | −7.06727 | − | 4.00247i | −0.661910 | − | 0.374866i | ||||
\(115\) | −4.58820 | − | 6.72965i | −0.427851 | − | 0.627543i | ||||
\(116\) | 0.582522 | + | 1.78289i | 0.0540858 | + | 0.165537i | ||||
\(117\) | −17.6832 | + | 10.2094i | −1.63481 | + | 0.943858i | ||||
\(118\) | 6.94897 | − | 6.55584i | 0.639705 | − | 0.603514i | ||||
\(119\) | 3.50083 | − | 4.27734i | 0.320920 | − | 0.392103i | ||||
\(120\) | −9.29821 | − | 7.04371i | −0.848807 | − | 0.643000i | ||||
\(121\) | 3.49306 | + | 2.38153i | 0.317551 | + | 0.216502i | ||||
\(122\) | 0.108356 | − | 0.0532935i | 0.00981007 | − | 0.00482496i | ||||
\(123\) | 18.0605 | − | 19.4646i | 1.62846 | − | 1.75507i | ||||
\(124\) | 3.67438 | + | 14.9504i | 0.329969 | + | 1.34259i | ||||
\(125\) | −5.21225 | − | 10.8234i | −0.466198 | − | 0.968070i | ||||
\(126\) | 6.84373 | − | 9.94365i | 0.609688 | − | 0.885850i | ||||
\(127\) | −6.55145 | − | 3.15501i | −0.581347 | − | 0.279962i | 0.120009 | − | 0.992773i | \(-0.461708\pi\) |
−0.701356 | + | 0.712811i | \(0.747422\pi\) | |||||||
\(128\) | 10.1098 | + | 5.07853i | 0.893591 | + | 0.448883i | ||||
\(129\) | 6.74772 | − | 11.6874i | 0.594103 | − | 1.02902i | ||||
\(130\) | −14.3953 | + | 3.41155i | −1.26255 | + | 0.299213i | ||||
\(131\) | 1.64027 | − | 10.8825i | 0.143311 | − | 0.950808i | −0.795395 | − | 0.606091i | \(-0.792737\pi\) |
0.938707 | − | 0.344717i | \(-0.112025\pi\) | |||||||
\(132\) | −10.6075 | + | 7.49290i | −0.923263 | + | 0.652173i | ||||
\(133\) | 4.19828 | − | 4.41100i | 0.364037 | − | 0.382482i | ||||
\(134\) | −1.10731 | − | 0.157514i | −0.0956567 | − | 0.0136072i | ||||
\(135\) | −0.0697000 | − | 0.930082i | −0.00599882 | − | 0.0800487i | ||||
\(136\) | 1.02585 | + | 5.81924i | 0.0879658 | + | 0.498996i | ||||
\(137\) | 2.25712 | + | 5.75104i | 0.192838 | + | 0.491344i | 0.994290 | − | 0.106716i | \(-0.0340335\pi\) |
−0.801451 | + | 0.598060i | \(0.795938\pi\) | |||||||
\(138\) | −1.15558 | + | 17.3509i | −0.0983694 | + | 1.47701i | ||||
\(139\) | −3.00358 | + | 2.39528i | −0.254760 | + | 0.203165i | −0.742539 | − | 0.669803i | \(-0.766379\pi\) |
0.487779 | + | 0.872967i | \(0.337807\pi\) | |||||||
\(140\) | 6.81654 | − | 5.47962i | 0.576103 | − | 0.463112i | ||||
\(141\) | −8.36055 | − | 6.66732i | −0.704085 | − | 0.561489i | ||||
\(142\) | −13.6125 | + | 14.9172i | −1.14234 | + | 1.25182i | ||||
\(143\) | −1.23086 | + | 16.4247i | −0.102930 | + | 1.37350i | ||||
\(144\) | 3.28746 | + | 12.4788i | 0.273955 | + | 1.03990i | ||||
\(145\) | −1.13627 | + | 1.05431i | −0.0943622 | + | 0.0875554i | ||||
\(146\) | 14.2677 | + | 5.46348i | 1.18080 | + | 0.452161i | ||||
\(147\) | 11.5514 | + | 13.1014i | 0.952740 | + | 1.08059i | ||||
\(148\) | −7.60942 | + | 8.47896i | −0.625490 | + | 0.696966i | ||||
\(149\) | 9.33339 | + | 10.0590i | 0.764621 | + | 0.824065i | 0.988606 | − | 0.150527i | \(-0.0480971\pi\) |
−0.223985 | + | 0.974593i | \(0.571907\pi\) | |||||||
\(150\) | −1.71622 | + | 7.81769i | −0.140128 | + | 0.638312i | ||||
\(151\) | 0.219759 | − | 2.93248i | 0.0178837 | − | 0.238641i | −0.981098 | − | 0.193514i | \(-0.938012\pi\) |
0.998981 | − | 0.0451275i | \(-0.0143694\pi\) | |||||||
\(152\) | 0.647926 | + | 6.47767i | 0.0525538 | + | 0.525408i | ||||
\(153\) | −4.20224 | + | 5.26944i | −0.339731 | + | 0.426009i | ||||
\(154\) | −3.51748 | − | 9.07965i | −0.283447 | − | 0.731659i | ||||
\(155\) | −9.94715 | + | 7.93259i | −0.798974 | + | 0.637161i | ||||
\(156\) | 28.6808 | + | 13.2302i | 2.29631 | + | 1.05926i | ||||
\(157\) | −10.2718 | + | 4.03139i | −0.819780 | + | 0.321740i | −0.737907 | − | 0.674903i | \(-0.764186\pi\) |
−0.0818733 | + | 0.996643i | \(0.526090\pi\) | |||||||
\(158\) | −13.1075 | − | 10.2761i | −1.04278 | − | 0.817525i | ||||
\(159\) | −0.0319275 | − | 0.426043i | −0.00253202 | − | 0.0337874i | ||||
\(160\) | −0.311395 | + | 9.34461i | −0.0246179 | + | 0.738756i | ||||
\(161\) | −12.4089 | − | 4.00087i | −0.977957 | − | 0.315313i | ||||
\(162\) | 6.50824 | − | 9.71812i | 0.511336 | − | 0.763527i | ||||
\(163\) | −3.45458 | + | 22.9196i | −0.270583 | + | 1.79520i | 0.279555 | + | 0.960130i | \(0.409813\pi\) |
−0.550139 | + | 0.835073i | \(0.685425\pi\) | |||||||
\(164\) | −21.0950 | − | 2.82238i | −1.64724 | − | 0.220391i | ||||
\(165\) | −9.29474 | − | 5.36632i | −0.723594 | − | 0.417767i | ||||
\(166\) | 7.63769 | − | 1.21609i | 0.592800 | − | 0.0943873i | ||||
\(167\) | 7.90811 | + | 3.80834i | 0.611948 | + | 0.294699i | 0.714071 | − | 0.700073i | \(-0.246849\pi\) |
−0.102123 | + | 0.994772i | \(0.532564\pi\) | |||||||
\(168\) | −18.6712 | + | 0.227728i | −1.44051 | + | 0.0175696i | ||||
\(169\) | 24.3784 | − | 11.7400i | 1.87526 | − | 0.903079i | ||||
\(170\) | −4.01177 | + | 2.78422i | −0.307689 | + | 0.213540i | ||||
\(171\) | −5.05056 | + | 5.44321i | −0.386226 | + | 0.416253i | ||||
\(172\) | −10.7719 | + | 0.987247i | −0.821346 | + | 0.0752769i | ||||
\(173\) | −5.99839 | + | 8.79802i | −0.456049 | + | 0.668901i | −0.983546 | − | 0.180655i | \(-0.942178\pi\) |
0.527497 | + | 0.849557i | \(0.323130\pi\) | |||||||
\(174\) | 3.29795 | − | 0.274684i | 0.250017 | − | 0.0208237i | ||||
\(175\) | −5.37322 | − | 2.67217i | −0.406177 | − | 0.201997i | ||||
\(176\) | 9.81078 | + | 3.47936i | 0.739516 | + | 0.262267i | ||||
\(177\) | −8.42796 | − | 14.5977i | −0.633484 | − | 1.09723i | ||||
\(178\) | −1.98860 | + | 1.61303i | −0.149052 | + | 0.120902i | ||||
\(179\) | 1.48679 | + | 2.18072i | 0.111128 | + | 0.162995i | 0.877774 | − | 0.479076i | \(-0.159028\pi\) |
−0.766646 | + | 0.642070i | \(0.778076\pi\) | |||||||
\(180\) | −8.22638 | + | 6.78668i | −0.613158 | + | 0.505849i | ||||
\(181\) | 14.9702 | + | 3.41685i | 1.11272 | + | 0.253972i | 0.739092 | − | 0.673605i | \(-0.235255\pi\) |
0.373633 | + | 0.927577i | \(0.378112\pi\) | |||||||
\(182\) | −14.8465 | + | 18.4498i | −1.10049 | + | 1.36759i | ||||
\(183\) | −0.0474091 | − | 0.207713i | −0.00350458 | − | 0.0153546i | ||||
\(184\) | 11.8936 | − | 7.26735i | 0.876805 | − | 0.535756i | ||||
\(185\) | −8.99688 | − | 2.77517i | −0.661464 | − | 0.204035i | ||||
\(186\) | 27.1624 | − | 0.225391i | 1.99164 | − | 0.0165265i | ||||
\(187\) | 1.60250 | + | 5.19517i | 0.117186 | + | 0.379909i | ||||
\(188\) | −0.498600 | + | 8.55669i | −0.0363641 | + | 0.624061i | ||||
\(189\) | −1.00152 | − | 1.10725i | −0.0728498 | − | 0.0805406i | ||||
\(190\) | −4.63669 | + | 2.72854i | −0.336381 | + | 0.197949i | ||||
\(191\) | 2.93325 | − | 7.47380i | 0.212243 | − | 0.540785i | −0.784616 | − | 0.619981i | \(-0.787140\pi\) |
0.996859 | + | 0.0791962i | \(0.0252354\pi\) | |||||||
\(192\) | 12.8324 | − | 15.2906i | 0.926101 | − | 1.10350i | ||||
\(193\) | −1.05325 | + | 0.158751i | −0.0758143 | + | 0.0114272i | −0.186840 | − | 0.982390i | \(-0.559825\pi\) |
0.111026 | + | 0.993818i | \(0.464586\pi\) | |||||||
\(194\) | 0.416316 | − | 0.167392i | 0.0298897 | − | 0.0120180i | ||||
\(195\) | 26.1025i | 1.86924i | ||||||||
\(196\) | 3.23526 | − | 13.6211i | 0.231090 | − | 0.972932i | ||||
\(197\) | − | 9.73650i | − | 0.693697i | −0.937921 | − | 0.346848i | \(-0.887252\pi\) | ||
0.937921 | − | 0.346848i | \(-0.112748\pi\) | |||||||
\(198\) | 4.42934 | + | 11.0161i | 0.314780 | + | 0.782881i | ||||
\(199\) | −7.19911 | + | 1.08509i | −0.510331 | + | 0.0769201i | −0.399160 | − | 0.916881i | \(-0.630698\pi\) |
−0.111171 | + | 0.993801i | \(0.535460\pi\) | |||||||
\(200\) | 5.91168 | − | 2.49170i | 0.418019 | − | 0.176190i | ||||
\(201\) | −0.720960 | + | 1.83698i | −0.0508526 | + | 0.129570i | ||||
\(202\) | −11.7588 | − | 19.9821i | −0.827349 | − | 1.40594i | ||||
\(203\) | −0.400932 | + | 2.44864i | −0.0281399 | + | 0.171861i | ||||
\(204\) | 10.4081 | + | 0.606481i | 0.728711 | + | 0.0424621i | ||||
\(205\) | −5.18430 | − | 16.8071i | −0.362087 | − | 1.17386i | ||||
\(206\) | 0.213857 | + | 25.7723i | 0.0149001 | + | 1.79564i | ||||
\(207\) | 15.1918 | + | 4.68604i | 1.05590 | + | 0.325702i | ||||
\(208\) | −4.60190 | − | 24.8948i | −0.319084 | − | 1.72614i | ||||
\(209\) | 1.33283 | + | 5.83952i | 0.0921940 | + | 0.403928i | ||||
\(210\) | −6.63414 | − | 13.9324i | −0.457799 | − | 0.961427i | ||||
\(211\) | −17.1798 | − | 3.92118i | −1.18271 | − | 0.269945i | −0.414442 | − | 0.910076i | \(-0.636023\pi\) |
−0.768266 | + | 0.640130i | \(0.778880\pi\) | |||||||
\(212\) | −0.264153 | + | 0.217924i | −0.0181421 | + | 0.0149671i | ||||
\(213\) | 20.0717 | + | 29.4399i | 1.37529 | + | 2.01719i | ||||
\(214\) | −10.9806 | − | 13.5372i | −0.750616 | − | 0.925385i | ||||
\(215\) | −4.46966 | − | 7.74167i | −0.304828 | − | 0.527978i | ||||
\(216\) | 1.59559 | − | 0.0397275i | 0.108566 | − | 0.00270311i | ||||
\(217\) | −4.78361 | + | 19.7963i | −0.324733 | + | 1.34386i | ||||
\(218\) | 1.62859 | + | 19.5534i | 0.110302 | + | 1.32432i | ||||
\(219\) | 15.1851 | − | 22.2724i | 1.02611 | − | 1.50503i | ||||
\(220\) | 0.785137 | + | 8.56663i | 0.0529339 | + | 0.577562i | ||||
\(221\) | 8.99354 | − | 9.69273i | 0.604971 | − | 0.652004i | ||||
\(222\) | 11.4609 | + | 16.5140i | 0.769207 | + | 1.10835i | ||||
\(223\) | 14.9706 | − | 7.20944i | 1.00250 | − | 0.482780i | 0.140716 | − | 0.990050i | \(-0.455060\pi\) |
0.861787 | + | 0.507270i | \(0.169345\pi\) | |||||||
\(224\) | 8.78350 | + | 12.1182i | 0.586872 | + | 0.809680i | ||||
\(225\) | 6.59279 | + | 3.17492i | 0.439519 | + | 0.211661i | ||||
\(226\) | 3.68609 | + | 23.1505i | 0.245195 | + | 1.53995i | ||||
\(227\) | −20.3905 | − | 11.7725i | −1.35336 | − | 0.781365i | −0.364645 | − | 0.931146i | \(-0.618810\pi\) |
−0.988719 | + | 0.149781i | \(0.952143\pi\) | |||||||
\(228\) | 11.3847 | + | 1.52321i | 0.753972 | + | 0.100877i | ||||
\(229\) | 0.00666470 | − | 0.0442174i | 0.000440416 | − | 0.00292197i | −0.988610 | − | 0.150503i | \(-0.951911\pi\) |
0.989050 | + | 0.147581i | \(0.0471487\pi\) | |||||||
\(230\) | 9.57067 | + | 6.40949i | 0.631071 | + | 0.422630i | ||||
\(231\) | −17.0195 | + | 2.34467i | −1.11980 | + | 0.154268i | ||||
\(232\) | −1.70495 | − | 2.03205i | −0.111936 | − | 0.133410i | ||||
\(233\) | −1.70931 | − | 22.8091i | −0.111981 | − | 1.49428i | −0.716445 | − | 0.697644i | \(-0.754232\pi\) |
0.604464 | − | 0.796632i | \(-0.293387\pi\) | |||||||
\(234\) | 17.8163 | − | 22.7252i | 1.16468 | − | 1.48559i | ||||
\(235\) | −6.59371 | + | 2.58784i | −0.430126 | + | 0.168812i | ||||
\(236\) | −5.65919 | + | 12.2682i | −0.368382 | + | 0.798590i | ||||
\(237\) | −22.9755 | + | 18.3224i | −1.49242 | + | 1.19017i | ||||
\(238\) | −2.33689 | + | 7.45934i | −0.151478 | + | 0.483518i | ||||
\(239\) | −9.67470 | + | 12.1317i | −0.625804 | + | 0.784734i | −0.989148 | − | 0.146921i | \(-0.953064\pi\) |
0.363344 | + | 0.931655i | \(0.381635\pi\) | |||||||
\(240\) | 15.9165 | + | 4.33669i | 1.02740 | + | 0.279932i | ||||
\(241\) | −2.18264 | + | 29.1253i | −0.140596 | + | 1.87613i | 0.268010 | + | 0.963416i | \(0.413634\pi\) |
−0.408607 | + | 0.912711i | \(0.633985\pi\) | |||||||
\(242\) | −5.83975 | − | 1.28200i | −0.375394 | − | 0.0824101i | ||||
\(243\) | −15.1879 | − | 16.3686i | −0.974302 | − | 1.05005i | ||||
\(244\) | −0.114060 | + | 0.127093i | −0.00730192 | + | 0.00813632i | ||||
\(245\) | 11.3414 | − | 2.28728i | 0.724578 | − | 0.146129i | ||||
\(246\) | −13.4285 | + | 35.0682i | −0.856173 | + | 2.23587i | ||||
\(247\) | 10.6786 | − | 9.90830i | 0.679464 | − | 0.630450i | ||||
\(248\) | −12.7087 | − | 17.6782i | −0.807003 | − | 1.12257i | ||||
\(249\) | 1.01974 | − | 13.6075i | 0.0646233 | − | 0.862338i | ||||
\(250\) | 12.5492 | + | 11.4517i | 0.793684 | + | 0.724269i | ||||
\(251\) | −9.29460 | − | 7.41220i | −0.586670 | − | 0.467854i | 0.284608 | − | 0.958644i | \(-0.408137\pi\) |
−0.871278 | + | 0.490790i | \(0.836708\pi\) | |||||||
\(252\) | −3.73379 | + | 16.6579i | −0.235206 | + | 1.04935i | ||||
\(253\) | 10.0263 | − | 7.99573i | 0.630350 | − | 0.502687i | ||||
\(254\) | 10.2608 | + | 0.683373i | 0.643820 | + | 0.0428786i | ||||
\(255\) | 3.14777 | + | 8.02038i | 0.197121 | + | 0.502255i | ||||
\(256\) | −15.9446 | − | 1.32995i | −0.996539 | − | 0.0831218i | ||||
\(257\) | −1.31227 | − | 17.5110i | −0.0818570 | − | 1.09231i | −0.875274 | − | 0.483627i | \(-0.839319\pi\) |
0.793417 | − | 0.608678i | \(-0.208300\pi\) | |||||||
\(258\) | −2.68784 | + | 18.8952i | −0.167338 | + | 1.17636i | ||||
\(259\) | −14.0982 | + | 5.32758i | −0.876021 | + | 0.331040i | ||||
\(260\) | 17.0886 | − | 12.0710i | 1.05979 | − | 0.748611i | ||||
\(261\) | 0.450936 | − | 2.99176i | 0.0279122 | − | 0.185185i | ||||
\(262\) | 3.58911 | + | 15.1445i | 0.221736 | + | 0.935632i | ||||
\(263\) | −2.13459 | + | 3.69722i | −0.131625 | + | 0.227980i | −0.924303 | − | 0.381660i | \(-0.875353\pi\) |
0.792678 | + | 0.609640i | \(0.208686\pi\) | |||||||
\(264\) | 9.96524 | − | 15.4279i | 0.613318 | − | 0.949519i | ||||
\(265\) | −0.254974 | − | 0.122789i | −0.0156630 | − | 0.00754288i | ||||
\(266\) | −3.18152 | + | 8.00268i | −0.195072 | + | 0.490676i | ||||
\(267\) | 1.96021 | + | 4.07041i | 0.119963 | + | 0.249105i | ||||
\(268\) | 1.53602 | − | 0.377510i | 0.0938275 | − | 0.0230601i | ||||
\(269\) | 13.8478 | − | 14.9243i | 0.844314 | − | 0.909954i | −0.152614 | − | 0.988286i | \(-0.548769\pi\) |
0.996927 | + | 0.0783323i | \(0.0249595\pi\) | |||||||
\(270\) | 0.582144 | + | 1.18361i | 0.0354282 | + | 0.0720322i | ||||
\(271\) | 2.69831 | + | 1.83968i | 0.163911 | + | 0.111752i | 0.642497 | − | 0.766288i | \(-0.277898\pi\) |
−0.478587 | + | 0.878040i | \(0.658851\pi\) | |||||||
\(272\) | −4.41613 | − | 7.09434i | −0.267767 | − | 0.430158i | ||||
\(273\) | 25.6346 | + | 32.9957i | 1.55148 | + | 1.99699i | ||||
\(274\) | −5.99572 | − | 6.35526i | −0.362215 | − | 0.383935i | ||||
\(275\) | 5.11181 | − | 2.95130i | 0.308254 | − | 0.177970i | ||||
\(276\) | −7.63768 | − | 23.3762i | −0.459734 | − | 1.40708i | ||||
\(277\) | 1.97215 | + | 2.89261i | 0.118495 | + | 0.173800i | 0.880904 | − | 0.473296i | \(-0.156936\pi\) |
−0.762409 | + | 0.647096i | \(0.775983\pi\) | |||||||
\(278\) | 2.67737 | − | 4.72751i | 0.160578 | − | 0.283537i | ||||
\(279\) | 5.52604 | − | 24.2112i | 0.330835 | − | 1.44948i | ||||
\(280\) | −6.05321 | + | 10.7862i | −0.361749 | + | 0.644597i | ||||
\(281\) | 4.27294 | + | 18.7210i | 0.254902 | + | 1.11680i | 0.926622 | + | 0.375994i | \(0.122699\pi\) |
−0.671720 | + | 0.740805i | \(0.734444\pi\) | |||||||
\(282\) | 14.4876 | + | 4.33751i | 0.862723 | + | 0.258295i | ||||
\(283\) | 4.54683 | − | 14.7404i | 0.270281 | − | 0.876229i | −0.714080 | − | 0.700064i | \(-0.753155\pi\) |
0.984361 | − | 0.176165i | \(-0.0563691\pi\) | |||||||
\(284\) | 9.99134 | − | 26.7547i | 0.592877 | − | 1.58760i | ||||
\(285\) | 2.79791 | + | 9.07061i | 0.165734 | + | 0.537296i | ||||
\(286\) | −7.05024 | − | 22.2006i | −0.416890 | − | 1.31275i | ||||
\(287\) | −23.0592 | − | 16.1542i | −1.36114 | − | 0.953550i | ||||
\(288\) | −10.8971 | − | 14.6394i | −0.642117 | − | 0.862633i | ||||
\(289\) | −4.61627 | + | 11.7621i | −0.271545 | + | 0.691886i | ||||
\(290\) | 0.934701 | − | 1.98285i | 0.0548875 | − | 0.116437i | ||||
\(291\) | −0.117996 | − | 0.782854i | −0.00691706 | − | 0.0458917i | ||||
\(292\) | −21.6034 | + | 0.358551i | −1.26424 | + | 0.0209826i | ||||
\(293\) | 2.20743i | 0.128960i | 0.997919 | + | 0.0644798i | \(0.0205388\pi\) | ||||
−0.997919 | + | 0.0644798i | \(0.979461\pi\) | |||||||
\(294\) | −22.0688 | − | 11.0965i | −1.28708 | − | 0.647159i | ||||
\(295\) | −11.1653 | −0.650068 | ||||||||
\(296\) | 5.51119 | − | 15.1400i | 0.320331 | − | 0.879993i | ||||
\(297\) | 1.45212 | − | 0.218871i | 0.0842604 | − | 0.0127002i | ||||
\(298\) | −17.5534 | − | 8.27456i | −1.01684 | − | 0.479332i | ||||
\(299\) | −29.0332 | − | 11.3947i | −1.67903 | − | 0.658972i | ||||
\(300\) | −1.87254 | − | 11.1632i | −0.108111 | − | 0.644508i | ||||
\(301\) | −13.2529 | − | 5.39657i | −0.763886 | − | 0.311053i | ||||
\(302\) | 1.25875 | + | 3.96370i | 0.0724331 | + | 0.228086i | ||||
\(303\) | −39.0905 | + | 12.0578i | −2.24569 | + | 0.692703i | ||||
\(304\) | −4.26762 | − | 8.15766i | −0.244765 | − | 0.467874i | ||||
\(305\) | −0.134857 | − | 0.0415977i | −0.00772186 | − | 0.00238188i | ||||
\(306\) | 2.73382 | − | 9.13115i | 0.156282 | − | 0.521993i | ||||
\(307\) | −21.5147 | + | 4.91059i | −1.22791 | + | 0.280262i | −0.786809 | − | 0.617197i | \(-0.788268\pi\) |
−0.441099 | + | 0.897459i | \(0.645411\pi\) | |||||||
\(308\) | 9.40557 | + | 10.0579i | 0.535932 | + | 0.573100i | ||||
\(309\) | 44.3339 | + | 10.1189i | 2.52207 | + | 0.575646i | ||||
\(310\) | 8.86683 | − | 15.6564i | 0.503602 | − | 0.889224i | ||||
\(311\) | −10.2193 | + | 6.96738i | −0.579482 | + | 0.395084i | −0.817289 | − | 0.576228i | \(-0.804524\pi\) |
0.237807 | + | 0.971312i | \(0.423571\pi\) | |||||||
\(312\) | −44.6127 | − | 2.22832i | −2.52570 | − | 0.126154i | ||||
\(313\) | −3.30837 | − | 5.73026i | −0.187000 | − | 0.323894i | 0.757249 | − | 0.653127i | \(-0.226543\pi\) |
−0.944249 | + | 0.329233i | \(0.893210\pi\) | |||||||
\(314\) | 11.3510 | − | 10.7088i | 0.640574 | − | 0.604335i | ||||
\(315\) | −13.7929 | + | 2.96441i | −0.777142 | + | 0.167026i | ||||
\(316\) | 22.6201 | + | 6.56833i | 1.27248 | + | 0.369497i | ||||
\(317\) | 4.08703 | − | 5.99457i | 0.229550 | − | 0.336688i | −0.694132 | − | 0.719848i | \(-0.744212\pi\) |
0.923682 | + | 0.383159i | \(0.125164\pi\) | |||||||
\(318\) | 0.266663 | + | 0.542176i | 0.0149537 | + | 0.0304037i | ||||
\(319\) | −1.78906 | − | 1.66000i | −0.100168 | − | 0.0929423i | ||||
\(320\) | −4.52140 | − | 12.4256i | −0.252754 | − | 0.694610i | ||||
\(321\) | −27.7089 | + | 13.3439i | −1.54656 | + | 0.744784i | ||||
\(322\) | 18.3927 | − | 1.29700i | 1.02499 | − | 0.0722791i | ||||
\(323\) | 2.08629 | − | 4.33224i | 0.116085 | − | 0.241052i | ||||
\(324\) | −3.41256 | + | 16.1849i | −0.189587 | + | 0.899164i | ||||
\(325\) | −12.4323 | − | 7.17776i | −0.689617 | − | 0.398151i | ||||
\(326\) | −7.55901 | − | 31.8959i | −0.418655 | − | 1.76655i | ||||
\(327\) | 34.2326 | + | 5.15973i | 1.89307 | + | 0.285334i | ||||
\(328\) | 29.1682 | − | 7.42588i | 1.61054 | − | 0.410026i | ||||
\(329\) | −5.79354 | + | 9.74678i | −0.319408 | + | 0.537357i | ||||
\(330\) | 15.0270 | + | 2.13758i | 0.827207 | + | 0.117670i | ||||
\(331\) | −14.0945 | + | 1.05624i | −0.774705 | + | 0.0580561i | −0.456214 | − | 0.889870i | \(-0.650795\pi\) |
−0.318490 | + | 0.947926i | \(0.603176\pi\) | |||||||
\(332\) | −9.38000 | + | 5.62513i | −0.514794 | + | 0.308719i | ||||
\(333\) | 17.1071 | − | 6.71404i | 0.937463 | − | 0.367927i | ||||
\(334\) | −12.3856 | − | 0.824884i | −0.677709 | − | 0.0451357i | ||||
\(335\) | 0.815004 | + | 1.02198i | 0.0445284 | + | 0.0558369i | ||||
\(336\) | 24.3787 | − | 10.1493i | 1.32997 | − | 0.553688i | ||||
\(337\) | −7.40089 | + | 9.28042i | −0.403152 | + | 0.505537i | −0.941420 | − | 0.337237i | \(-0.890508\pi\) |
0.538268 | + | 0.842774i | \(0.319079\pi\) | |||||||
\(338\) | −25.7937 | + | 28.2658i | −1.40299 | + | 1.53746i | ||||
\(339\) | 41.2455 | + | 3.09092i | 2.24015 | + | 0.167876i | ||||
\(340\) | 3.79504 | − | 5.76974i | 0.205815 | − | 0.312908i | ||||
\(341\) | −13.6253 | − | 14.6846i | −0.737853 | − | 0.795216i | ||||
\(342\) | 3.75524 | − | 9.80671i | 0.203060 | − | 0.530286i | ||||
\(343\) | 12.0902 | − | 14.0295i | 0.652811 | − | 0.757521i | ||||
\(344\) | 13.6131 | − | 6.97836i | 0.733971 | − | 0.376248i | ||||
\(345\) | 14.8981 | − | 13.8234i | 0.802087 | − | 0.744228i | ||||
\(346\) | 3.22899 | − | 14.7087i | 0.173592 | − | 0.790744i | ||||
\(347\) | 26.4301 | + | 1.98067i | 1.41884 | + | 0.106328i | 0.761941 | − | 0.647647i | \(-0.224247\pi\) |
0.656904 | + | 0.753974i | \(0.271866\pi\) | |||||||
\(348\) | −4.18239 | + | 2.10034i | −0.224200 | + | 0.112590i | ||||
\(349\) | 23.2353 | + | 18.5295i | 1.24376 | + | 0.991863i | 0.999756 | + | 0.0220878i | \(0.00703133\pi\) |
0.244001 | + | 0.969775i | \(0.421540\pi\) | |||||||
\(350\) | 8.46009 | + | 0.671436i | 0.452211 | + | 0.0358898i | ||||
\(351\) | −2.22682 | − | 2.79234i | −0.118859 | − | 0.149044i | ||||
\(352\) | −14.7086 | + | 0.610589i | −0.783969 | + | 0.0325445i | ||||
\(353\) | −9.35869 | − | 23.8456i | −0.498113 | − | 1.26917i | −0.930105 | − | 0.367294i | \(-0.880284\pi\) |
0.431992 | − | 0.901877i | \(-0.357811\pi\) | |||||||
\(354\) | 18.7599 | + | 14.7075i | 0.997076 | + | 0.781695i | ||||
\(355\) | 23.5359 | − | 1.76377i | 1.24916 | − | 0.0936114i | ||||
\(356\) | 1.75829 | − | 3.16564i | 0.0931893 | − | 0.167778i | ||||
\(357\) | 11.8557 | + | 7.04707i | 0.627468 | + | 0.372971i | ||||
\(358\) | −3.10135 | − | 2.07698i | −0.163911 | − | 0.109772i | ||||
\(359\) | −10.4304 | − | 1.57213i | −0.550497 | − | 0.0829740i | −0.132097 | − | 0.991237i | \(-0.542171\pi\) |
−0.418400 | + | 0.908263i | \(0.637409\pi\) | |||||||
\(360\) | 7.21353 | − | 13.2450i | 0.380186 | − | 0.698072i | ||||
\(361\) | −6.85125 | + | 11.8667i | −0.360592 | + | 0.624564i | ||||
\(362\) | −21.4453 | + | 3.41459i | −1.12714 | + | 0.179467i | ||||
\(363\) | −4.57703 | + | 9.50430i | −0.240232 | + | 0.498846i | ||||
\(364\) | 9.74671 | − | 32.0410i | 0.510866 | − | 1.67941i | ||||
\(365\) | −7.74733 | − | 16.0875i | −0.405514 | − | 0.842058i | ||||
\(366\) | 0.171791 | + | 0.247533i | 0.00897965 | + | 0.0129387i | ||||
\(367\) | −11.0640 | − | 10.2659i | −0.577536 | − | 0.535875i | 0.336408 | − | 0.941716i | \(-0.390788\pi\) |
−0.913943 | + | 0.405841i | \(0.866979\pi\) | |||||||
\(368\) | −11.7717 | + | 15.8104i | −0.613644 | + | 0.824175i | ||||
\(369\) | 28.3656 | + | 19.3393i | 1.47665 | + | 1.00677i | ||||
\(370\) | 13.2691 | − | 1.10518i | 0.689828 | − | 0.0574554i | ||||
\(371\) | −0.442897 | + | 0.0951887i | −0.0229941 | + | 0.00494195i | ||||
\(372\) | −35.5215 | + | 14.6260i | −1.84170 | + | 0.758321i | ||||
\(373\) | 9.54196 | − | 5.50905i | 0.494064 | − | 0.285248i | −0.232195 | − | 0.972669i | \(-0.574591\pi\) |
0.726259 | + | 0.687421i | \(0.241257\pi\) | |||||||
\(374\) | −4.84352 | − | 5.97126i | −0.250452 | − | 0.308766i | ||||
\(375\) | 24.7667 | − | 16.8856i | 1.27894 | − | 0.871970i | ||||
\(376\) | −3.86008 | − | 11.4905i | −0.199068 | − | 0.592576i | ||||
\(377\) | −1.32080 | + | 5.78679i | −0.0680245 | + | 0.298035i | ||||
\(378\) | 1.89827 | + | 0.924470i | 0.0976366 | + | 0.0475496i | ||||
\(379\) | 20.9952 | − | 4.79203i | 1.07845 | − | 0.246150i | 0.353840 | − | 0.935306i | \(-0.384876\pi\) |
0.724613 | + | 0.689156i | \(0.242019\pi\) | |||||||
\(380\) | 4.64439 | − | 6.02638i | 0.238252 | − | 0.309147i | ||||
\(381\) | 5.34809 | − | 17.3381i | 0.273991 | − | 0.888257i | ||||
\(382\) | 0.0942150 | + | 11.3540i | 0.00482046 | + | 0.580924i | ||||
\(383\) | 30.1153 | − | 9.28934i | 1.53882 | − | 0.474663i | 0.594612 | − | 0.804013i | \(-0.297306\pi\) |
0.944208 | + | 0.329350i | \(0.106830\pi\) | |||||||
\(384\) | −8.77075 | + | 26.8332i | −0.447581 | + | 1.36933i | ||||
\(385\) | −4.29178 | + | 10.5398i | −0.218729 | + | 0.537157i | ||||
\(386\) | 1.29823 | − | 0.763968i | 0.0660783 | − | 0.0388849i | ||||
\(387\) | 16.2425 | + | 6.37471i | 0.825652 | + | 0.324045i | ||||
\(388\) | −0.457945 | + | 0.439276i | −0.0232487 | + | 0.0223009i | ||||
\(389\) | 1.61923 | + | 10.7429i | 0.0820981 | + | 0.544685i | 0.991636 | + | 0.129065i | \(0.0411974\pi\) |
−0.909538 | + | 0.415620i | \(0.863564\pi\) | |||||||
\(390\) | −13.7710 | − | 34.2496i | −0.697324 | − | 1.73430i | ||||
\(391\) | −10.2950 | −0.520640 | ||||||||
\(392\) | 2.94108 | + | 19.5793i | 0.148547 | + | 0.988905i | ||||
\(393\) | 27.4610 | 1.38522 | ||||||||
\(394\) | 5.13674 | + | 12.7755i | 0.258785 | + | 0.643619i | ||||
\(395\) | 2.90121 | + | 19.2483i | 0.145976 | + | 0.968487i | ||||
\(396\) | −11.6237 | − | 12.1177i | −0.584111 | − | 0.608936i | ||||
\(397\) | 24.6612 | + | 9.67879i | 1.23771 | + | 0.485765i | 0.891768 | − | 0.452492i | \(-0.149465\pi\) |
0.345940 | + | 0.938257i | \(0.387560\pi\) | |||||||
\(398\) | 8.87364 | − | 5.22185i | 0.444795 | − | 0.261748i | ||||
\(399\) | 12.4448 | + | 8.71823i | 0.623020 | + | 0.436458i | ||||
\(400\) | −6.44228 | + | 6.38828i | −0.322114 | + | 0.319414i | ||||
\(401\) | −9.95426 | + | 3.07048i | −0.497092 | + | 0.153333i | −0.533156 | − | 0.846017i | \(-0.678994\pi\) |
0.0360640 | + | 0.999349i | \(0.488518\pi\) | |||||||
\(402\) | −0.0231570 | − | 2.79070i | −0.00115497 | − | 0.139187i | ||||
\(403\) | −14.3603 | + | 46.5550i | −0.715339 | + | 2.31907i | ||||
\(404\) | 25.9711 | + | 20.0153i | 1.29211 | + | 0.995800i | ||||
\(405\) | −13.3268 | + | 3.04176i | −0.662215 | + | 0.151146i | ||||
\(406\) | −0.765770 | − | 3.42443i | −0.0380045 | − | 0.169952i | ||||
\(407\) | 3.29869 | − | 14.4525i | 0.163510 | − | 0.716383i | ||||
\(408\) | −13.9766 | + | 4.69528i | −0.691946 | + | 0.232451i | ||||
\(409\) | 22.9421 | − | 15.6417i | 1.13442 | − | 0.773432i | 0.157598 | − | 0.987503i | \(-0.449625\pi\) |
0.976818 | + | 0.214072i | \(0.0686726\pi\) | |||||||
\(410\) | 15.6694 | + | 19.3178i | 0.773859 | + | 0.954040i | ||||
\(411\) | −13.3505 | + | 7.70789i | −0.658529 | + | 0.380202i | ||||
\(412\) | −13.8775 | − | 33.7036i | −0.683694 | − | 1.66046i | ||||
\(413\) | −14.1138 | + | 10.9652i | −0.694497 | + | 0.539561i | ||||
\(414\) | −22.4057 | + | 1.86615i | −1.10118 | + | 0.0917165i | ||||
\(415\) | −7.46821 | − | 5.09174i | −0.366600 | − | 0.249944i | ||||
\(416\) | 19.1721 | + | 30.2371i | 0.939992 | + | 1.48250i | ||||
\(417\) | −7.02701 | − | 6.52011i | −0.344114 | − | 0.319291i | ||||
\(418\) | −4.82963 | − | 6.95899i | −0.236225 | − | 0.340375i | ||||
\(419\) | −11.1333 | − | 23.1186i | −0.543900 | − | 1.12942i | −0.973981 | − | 0.226629i | \(-0.927229\pi\) |
0.430081 | − | 0.902790i | \(-0.358485\pi\) | |||||||
\(420\) | 16.0552 | + | 14.7810i | 0.783414 | + | 0.721238i | ||||
\(421\) | −4.97902 | + | 10.3390i | −0.242663 | + | 0.503894i | −0.986356 | − | 0.164627i | \(-0.947358\pi\) |
0.743693 | + | 0.668521i | \(0.233072\pi\) | |||||||
\(422\) | 24.6107 | − | 3.91859i | 1.19803 | − | 0.190754i | ||||
\(423\) | 6.91300 | − | 11.9737i | 0.336122 | − | 0.582180i | ||||
\(424\) | 0.231630 | − | 0.425304i | 0.0112490 | − | 0.0206546i | ||||
\(425\) | −4.68558 | − | 0.706237i | −0.227284 | − | 0.0342575i | ||||
\(426\) | −41.8683 | − | 28.0393i | −2.02853 | − | 1.35851i | ||||
\(427\) | −0.211322 | + | 0.0798565i | −0.0102266 | + | 0.00386453i | ||||
\(428\) | 21.5497 | + | 11.9694i | 1.04165 | + | 0.578563i | ||||
\(429\) | −40.9834 | + | 3.07128i | −1.97870 | + | 0.148283i | ||||
\(430\) | 9.94906 | + | 7.79994i | 0.479786 | + | 0.376146i | ||||
\(431\) | 8.80260 | + | 22.4287i | 0.424006 | + | 1.08035i | 0.970117 | + | 0.242638i | \(0.0780126\pi\) |
−0.546111 | + | 0.837713i | \(0.683892\pi\) | |||||||
\(432\) | −2.07265 | + | 0.893921i | −0.0997202 | + | 0.0430088i | ||||
\(433\) | 24.1197 | + | 30.2451i | 1.15912 | + | 1.45349i | 0.867836 | + | 0.496851i | \(0.165510\pi\) |
0.291282 | + | 0.956637i | \(0.405918\pi\) | |||||||
\(434\) | −4.16738 | − | 28.4989i | −0.200041 | − | 1.36799i | ||||
\(435\) | −3.02392 | − | 2.41150i | −0.144986 | − | 0.115622i | ||||
\(436\) | −12.4528 | − | 24.7972i | −0.596381 | − | 1.18757i | ||||
\(437\) | −11.3104 | − | 0.847599i | −0.541051 | − | 0.0405461i | ||||
\(438\) | −8.17427 | + | 37.2354i | −0.390582 | + | 1.77918i | ||||
\(439\) | −12.0382 | + | 11.1698i | −0.574552 | + | 0.533106i | −0.913043 | − | 0.407863i | \(-0.866274\pi\) |
0.338491 | + | 0.940970i | \(0.390083\pi\) | |||||||
\(440\) | −5.54975 | − | 10.8262i | −0.264574 | − | 0.516121i | ||||
\(441\) | −14.5241 | + | 17.2929i | −0.691623 | + | 0.823473i | ||||
\(442\) | −6.68697 | + | 17.4628i | −0.318067 | + | 0.830622i | ||||
\(443\) | −10.6429 | − | 11.4703i | −0.505659 | − | 0.544971i | 0.427697 | − | 0.903922i | \(-0.359325\pi\) |
−0.933356 | + | 0.358951i | \(0.883135\pi\) | |||||||
\(444\) | −23.7505 | − | 15.6219i | −1.12715 | − | 0.741381i | ||||
\(445\) | 2.98421 | + | 0.223636i | 0.141465 | + | 0.0106013i | ||||
\(446\) | −15.8397 | + | 17.3578i | −0.750030 | + | 0.821915i | ||||
\(447\) | −21.3481 | + | 26.7697i | −1.00973 | + | 1.26616i | ||||
\(448\) | −17.9183 | − | 11.2666i | −0.846559 | − | 0.532295i | ||||
\(449\) | 2.17021 | + | 2.72136i | 0.102419 | + | 0.128429i | 0.830399 | − | 0.557169i | \(-0.188112\pi\) |
−0.727981 | + | 0.685598i | \(0.759541\pi\) | |||||||
\(450\) | −10.3256 | − | 0.687685i | −0.486751 | − | 0.0324178i | ||||
\(451\) | 25.7787 | − | 10.1174i | 1.21387 | − | 0.476410i | ||||
\(452\) | −17.0503 | − | 28.4316i | −0.801977 | − | 1.33731i | ||||
\(453\) | 7.31719 | − | 0.548348i | 0.343792 | − | 0.0257636i | ||||
\(454\) | 32.9657 | + | 4.68936i | 1.54716 | + | 0.220083i | ||||
\(455\) | 27.4182 | − | 3.77725i | 1.28538 | − | 0.177080i | ||||
\(456\) | −15.7418 | + | 4.00767i | −0.737175 | + | 0.187676i | ||||
\(457\) | 31.1560 | + | 4.69601i | 1.45741 | + | 0.219670i | 0.829454 | − | 0.558575i | \(-0.188652\pi\) |
0.627961 | + | 0.778245i | \(0.283890\pi\) | |||||||
\(458\) | 0.0145831 | + | 0.0615347i | 0.000681425 | + | 0.00287533i | ||||
\(459\) | −1.02096 | − | 0.589450i | −0.0476542 | − | 0.0275132i | ||||
\(460\) | −15.9394 | − | 3.36078i | −0.743177 | − | 0.156697i | ||||
\(461\) | −6.89820 | + | 14.3243i | −0.321281 | + | 0.667148i | −0.997584 | − | 0.0694767i | \(-0.977867\pi\) |
0.676302 | + | 0.736624i | \(0.263581\pi\) | |||||||
\(462\) | 21.0946 | − | 12.0556i | 0.981410 | − | 0.560875i | ||||
\(463\) | −22.5541 | + | 10.8615i | −1.04818 | + | 0.504777i | −0.877014 | − | 0.480465i | \(-0.840468\pi\) |
−0.171166 | + | 0.985242i | \(0.554753\pi\) | |||||||
\(464\) | 3.30916 | + | 1.76680i | 0.153624 | + | 0.0820217i | ||||
\(465\) | −23.2718 | − | 21.5931i | −1.07920 | − | 1.00136i | ||||
\(466\) | 14.2764 | + | 29.0266i | 0.661340 | + | 1.34463i | ||||
\(467\) | 3.59533 | − | 5.27338i | 0.166372 | − | 0.244023i | −0.733994 | − | 0.679156i | \(-0.762346\pi\) |
0.900366 | + | 0.435133i | \(0.143299\pi\) | |||||||
\(468\) | −11.3878 | + | 39.2176i | −0.526403 | + | 1.81283i | ||||
\(469\) | 2.03390 | + | 0.491474i | 0.0939167 | + | 0.0226942i | ||||
\(470\) | 7.28647 | − | 6.87425i | 0.336100 | − | 0.317085i | ||||
\(471\) | −13.7669 | − | 23.8450i | −0.634345 | − | 1.09872i | ||||
\(472\) | 0.953159 | − | 19.0830i | 0.0438727 | − | 0.878366i | ||||
\(473\) | 11.6293 | − | 7.92869i | 0.534714 | − | 0.364562i | ||||
\(474\) | 20.4803 | − | 36.1626i | 0.940690 | − | 1.66100i | ||||
\(475\) | −5.08959 | − | 1.16166i | −0.233526 | − | 0.0533008i | ||||
\(476\) | −0.869086 | − | 11.0205i | −0.0398345 | − | 0.505122i | ||||
\(477\) | 0.538539 | − | 0.122918i | 0.0246580 | − | 0.00562802i | ||||
\(478\) | 6.29400 | − | 21.0224i | 0.287881 | − | 0.961542i | ||||
\(479\) | 4.94027 | + | 1.52387i | 0.225727 | + | 0.0696274i | 0.405555 | − | 0.914071i | \(-0.367078\pi\) |
−0.179829 | + | 0.983698i | \(0.557554\pi\) | |||||||
\(480\) | −23.1723 | + | 2.70688i | −1.05767 | + | 0.123552i | ||||
\(481\) | −34.4516 | + | 10.6269i | −1.57086 | + | 0.484545i | ||||
\(482\) | −12.5019 | − | 39.3675i | −0.569447 | − | 1.79314i | ||||
\(483\) | 5.25678 | − | 32.1050i | 0.239192 | − | 1.46083i | ||||
\(484\) | 8.33882 | − | 1.39877i | 0.379037 | − | 0.0635806i | ||||
\(485\) | −0.488165 | − | 0.191591i | −0.0221664 | − | 0.00869969i | ||||
\(486\) | 28.5640 | + | 13.4649i | 1.29569 | + | 0.610779i | ||||
\(487\) | 7.56923 | − | 1.14088i | 0.342994 | − | 0.0516981i | 0.0247136 | − | 0.999695i | \(-0.492133\pi\) |
0.318281 | + | 0.947996i | \(0.396895\pi\) | |||||||
\(488\) | 0.0826086 | − | 0.226937i | 0.00373952 | − | 0.0102730i | ||||
\(489\) | −57.8356 | −2.61542 | ||||||||
\(490\) | −13.6746 | + | 8.98467i | −0.617757 | + | 0.405886i | ||||
\(491\) | 33.0822i | 1.49298i | 0.665397 | + | 0.746490i | \(0.268262\pi\) | ||||
−0.665397 | + | 0.746490i | \(0.731738\pi\) | |||||||
\(492\) | −0.881273 | − | 53.0984i | −0.0397309 | − | 2.39386i | ||||
\(493\) | 0.292009 | + | 1.93735i | 0.0131514 | + | 0.0872541i | ||||
\(494\) | −8.78426 | + | 18.6347i | −0.395222 | + | 0.838414i | ||||
\(495\) | 5.06967 | − | 12.9173i | 0.227865 | − | 0.580590i | ||||
\(496\) | 26.0020 | + | 16.4912i | 1.16752 | + | 0.740476i | ||||
\(497\) | 28.0192 | − | 25.3436i | 1.25683 | − | 1.13682i | ||||
\(498\) | 5.84095 | + | 18.3926i | 0.261739 | + | 0.824194i | ||||
\(499\) | −2.64842 | − | 8.58596i | −0.118559 | − | 0.384360i | 0.876768 | − | 0.480913i | \(-0.159695\pi\) |
−0.995328 | + | 0.0965525i | \(0.969218\pi\) | |||||||
\(500\) | −22.5078 | − | 8.40534i | −1.00658 | − | 0.375898i | ||||
\(501\) | −6.45556 | + | 20.9284i | −0.288413 | + | 0.935013i | ||||
\(502\) | 16.1061 | + | 4.82210i | 0.718853 | + | 0.215221i | ||||
\(503\) | −5.17944 | − | 22.6926i | −0.230940 | − | 1.01181i | −0.948862 | − | 0.315690i | \(-0.897764\pi\) |
0.717922 | − | 0.696123i | \(-0.245093\pi\) | |||||||
\(504\) | −3.88911 | − | 23.8270i | −0.173235 | − | 1.06134i | ||||
\(505\) | −6.02969 | + | 26.4178i | −0.268318 | + | 1.17558i | ||||
\(506\) | −8.93741 | + | 15.7810i | −0.397316 | + | 0.701552i | ||||
\(507\) | 38.0330 | + | 55.7842i | 1.68911 | + | 2.47746i | ||||
\(508\) | −13.8240 | + | 4.51669i | −0.613339 | + | 0.200396i | ||||
\(509\) | −1.74626 | + | 1.00820i | −0.0774016 | + | 0.0446879i | −0.538201 | − | 0.842816i | \(-0.680896\pi\) |
0.460800 | + | 0.887504i | \(0.347563\pi\) | |||||||
\(510\) | −8.36161 | − | 8.86303i | −0.370258 | − | 0.392461i | ||||
\(511\) | −25.5924 | − | 12.7275i | −1.13214 | − | 0.563030i | ||||
\(512\) | 21.6229 | − | 6.66695i | 0.955608 | − | 0.294640i | ||||
\(513\) | −1.07313 | − | 0.731646i | −0.0473797 | − | 0.0323029i | ||||
\(514\) | 10.9602 | + | 22.2842i | 0.483435 | + | 0.982915i | ||||
\(515\) | 20.4880 | − | 22.0809i | 0.902811 | − | 0.972999i | ||||
\(516\) | −6.44188 | − | 26.2109i | −0.283588 | − | 1.15387i | ||||
\(517\) | −4.83899 | − | 10.0483i | −0.212818 | − | 0.441922i | ||||
\(518\) | 15.6879 | − | 14.4283i | 0.689286 | − | 0.633944i | ||||
\(519\) | −23.9386 | − | 11.5282i | −1.05079 | − | 0.506033i | ||||
\(520\) | −16.0539 | + | 24.8541i | −0.704010 | + | 1.08993i | ||||
\(521\) | −12.0598 | + | 20.8883i | −0.528352 | + | 0.915132i | 0.471102 | + | 0.882079i | \(0.343856\pi\) |
−0.999454 | + | 0.0330531i | \(0.989477\pi\) | |||||||
\(522\) | 0.986699 | + | 4.16346i | 0.0431867 | + | 0.182230i | ||||
\(523\) | −4.38647 | + | 29.1023i | −0.191807 | + | 1.27256i | 0.661022 | + | 0.750366i | \(0.270123\pi\) |
−0.852829 | + | 0.522190i | \(0.825115\pi\) | |||||||
\(524\) | −12.6992 | − | 17.9779i | −0.554769 | − | 0.785370i | ||||
\(525\) | 4.59493 | − | 14.2514i | 0.200539 | − | 0.621982i | ||||
\(526\) | 0.850280 | − | 5.97737i | 0.0370740 | − | 0.260626i | ||||
\(527\) | 1.20177 | + | 16.0365i | 0.0523498 | + | 0.698560i | ||||
\(528\) | −4.93625 | + | 25.5006i | −0.214823 | + | 1.10977i | ||||
\(529\) | 0.469068 | + | 1.19516i | 0.0203942 | + | 0.0519637i | ||||
\(530\) | 0.399338 | + | 0.0265960i | 0.0173461 | + | 0.00115526i | ||||
\(531\) | 17.0389 | − | 13.5880i | 0.739423 | − | 0.589671i | ||||
\(532\) | −0.0474794 | − | 12.1790i | −0.00205849 | − | 0.528026i | ||||
\(533\) | −52.6574 | − | 41.9928i | −2.28084 | − | 1.81891i | ||||
\(534\) | −4.71948 | − | 4.30671i | −0.204232 | − | 0.186370i | ||||
\(535\) | −1.52238 | + | 20.3147i | −0.0658181 | + | 0.878282i | ||||
\(536\) | −1.81628 | + | 1.30571i | −0.0784515 | + | 0.0563980i | ||||
\(537\) | −4.82769 | + | 4.47944i | −0.208330 | + | 0.193302i | ||||
\(538\) | −10.2962 | + | 26.8883i | −0.443902 | + | 1.15924i | ||||
\(539\) | 4.92571 | + | 17.5380i | 0.212165 | + | 0.755416i | ||||
\(540\) | −1.38829 | − | 1.24591i | −0.0597424 | − | 0.0536156i | ||||
\(541\) | 25.6685 | + | 27.6640i | 1.10357 | + | 1.18937i | 0.980407 | + | 0.196983i | \(0.0631145\pi\) |
0.123167 | + | 0.992386i | \(0.460695\pi\) | |||||||
\(542\) | −4.51108 | − | 0.990316i | −0.193767 | − | 0.0425377i | ||||
\(543\) | −2.86325 | + | 38.2075i | −0.122874 | + | 1.63964i | ||||
\(544\) | 9.53730 | + | 6.97879i | 0.408908 | + | 0.299213i | ||||
\(545\) | 14.2977 | − | 17.9287i | 0.612444 | − | 0.767981i | ||||
\(546\) | −51.0435 | − | 29.7702i | −2.18446 | − | 1.27405i | ||||
\(547\) | 9.14210 | − | 7.29058i | 0.390888 | − | 0.311723i | −0.408250 | − | 0.912870i | \(-0.633861\pi\) |
0.799138 | + | 0.601147i | \(0.205289\pi\) | |||||||
\(548\) | 11.2200 | + | 5.17568i | 0.479295 | + | 0.221094i | ||||
\(549\) | 0.256423 | − | 0.100639i | 0.0109439 | − | 0.00429515i | ||||
\(550\) | −5.15028 | + | 6.56933i | −0.219609 | + | 0.280117i | ||||
\(551\) | 0.161306 | + | 2.15248i | 0.00687188 | + | 0.0916988i | ||||
\(552\) | 22.3543 | + | 26.6430i | 0.951462 | + | 1.13400i | ||||
\(553\) | 22.5707 | + | 21.4822i | 0.959803 | + | 0.913517i | ||||
\(554\) | −4.11377 | − | 2.75500i | −0.174777 | − | 0.117049i | ||||
\(555\) | 3.50145 | − | 23.2306i | 0.148628 | − | 0.986083i | ||||
\(556\) | −1.01892 | + | 7.61559i | −0.0432118 | + | 0.322973i | ||||
\(557\) | −29.2280 | − | 16.8748i | −1.23843 | − | 0.715007i | −0.269656 | − | 0.962957i | \(-0.586910\pi\) |
−0.968773 | + | 0.247950i | \(0.920243\pi\) | |||||||
\(558\) | 5.52239 | + | 34.6834i | 0.233781 | + | 1.46827i | ||||
\(559\) | −30.8412 | − | 14.8523i | −1.30444 | − | 0.628187i | ||||
\(560\) | 2.25203 | − | 17.3463i | 0.0951658 | − | 0.733015i | ||||
\(561\) | −12.2224 | + | 5.88599i | −0.516029 | + | 0.248507i | ||||
\(562\) | −15.4833 | − | 22.3099i | −0.653126 | − | 0.941086i | ||||
\(563\) | 17.0810 | − | 18.4089i | 0.719876 | − | 0.775842i | −0.262060 | − | 0.965051i | \(-0.584402\pi\) |
0.981937 | + | 0.189209i | \(0.0605924\pi\) | |||||||
\(564\) | −21.2978 | + | 1.95196i | −0.896800 | + | 0.0821923i | ||||
\(565\) | 15.4335 | − | 22.6368i | 0.649293 | − | 0.952338i | ||||
\(566\) | 1.81072 | + | 21.7401i | 0.0761100 | + | 0.913803i | ||||
\(567\) | −13.8590 | + | 16.9330i | −0.582021 | + | 0.711119i | ||||
\(568\) | 1.00531 | + | 40.3767i | 0.0421820 | + | 1.69417i | ||||
\(569\) | −3.62982 | − | 6.28704i | −0.152170 | − | 0.263566i | 0.779855 | − | 0.625960i | \(-0.215293\pi\) |
−0.932025 | + | 0.362394i | \(0.881959\pi\) | |||||||
\(570\) | −8.45663 | − | 10.4256i | −0.354209 | − | 0.436682i | ||||
\(571\) | −17.4499 | − | 25.5943i | −0.730255 | − | 1.07109i | −0.994304 | − | 0.106579i | \(-0.966010\pi\) |
0.264049 | − | 0.964509i | \(-0.414942\pi\) | |||||||
\(572\) | 20.9633 | + | 25.4104i | 0.876519 | + | 1.06246i | ||||
\(573\) | 19.5314 | + | 4.45791i | 0.815935 | + | 0.186232i | ||||
\(574\) | 38.7791 | + | 9.03074i | 1.61861 | + | 0.376936i | ||||
\(575\) | 2.48717 | + | 10.8970i | 0.103722 | + | 0.454436i | ||||
\(576\) | 22.0217 | + | 13.4596i | 0.917570 | + | 0.560817i | ||||
\(577\) | 16.1632 | + | 4.98568i | 0.672881 | + | 0.207556i | 0.612322 | − | 0.790608i | \(-0.290235\pi\) |
0.0605590 | + | 0.998165i | \(0.480712\pi\) | |||||||
\(578\) | −0.148273 | − | 17.8687i | −0.00616734 | − | 0.743240i | ||||
\(579\) | −0.783391 | − | 2.53969i | −0.0325566 | − | 0.105546i | ||||
\(580\) | −0.180338 | + | 3.09486i | −0.00748814 | + | 0.128507i | ||||
\(581\) | −14.4409 | + | 0.897976i | −0.599110 | + | 0.0372543i | ||||
\(582\) | 0.567840 | + | 0.964948i | 0.0235377 | + | 0.0399984i | ||||
\(583\) | 0.162790 | − | 0.414782i | 0.00674207 | − | 0.0171785i | ||||
\(584\) | 28.1571 | − | 11.8679i | 1.16515 | − | 0.491097i | ||||
\(585\) | −33.3717 | + | 5.02998i | −1.37975 | + | 0.207964i | ||||
\(586\) | −1.16459 | − | 2.89642i | −0.0481087 | − | 0.119650i | ||||
\(587\) | 22.7807i | 0.940259i | 0.882597 | + | 0.470130i | \(0.155793\pi\) | ||||
−0.882597 | + | 0.470130i | \(0.844207\pi\) | |||||||
\(588\) | 34.8112 | + | 2.91696i | 1.43559 | + | 0.120293i | ||||
\(589\) | 17.7171i | 0.730022i | ||||||||
\(590\) | 14.6502 | − | 5.89054i | 0.603140 | − | 0.242510i | ||||
\(591\) | 24.0234 | − | 3.62095i | 0.988191 | − | 0.148946i | ||||
\(592\) | 0.756137 | + | 22.7731i | 0.0310770 | + | 0.935967i | ||||
\(593\) | −12.6676 | + | 32.2764i | −0.520195 | + | 1.32543i | 0.393609 | + | 0.919278i | \(0.371227\pi\) |
−0.913803 | + | 0.406157i | \(0.866869\pi\) | |||||||
\(594\) | −1.78988 | + | 1.05329i | −0.0734398 | + | 0.0432169i | ||||
\(595\) | 7.96913 | − | 4.46704i | 0.326703 | − | 0.183131i | ||||
\(596\) | 27.3977 | + | 1.59647i | 1.12225 | + | 0.0653939i | ||||
\(597\) | −5.35461 | − | 17.3592i | −0.219150 | − | 0.710466i | ||||
\(598\) | 44.1067 | − | 0.365994i | 1.80366 | − | 0.0149666i | ||||
\(599\) | 33.4678 | + | 10.3234i | 1.36746 | + | 0.421804i | 0.889643 | − | 0.456657i | \(-0.150953\pi\) |
0.477813 | + | 0.878461i | \(0.341429\pi\) | |||||||
\(600\) | 8.34644 | + | 13.6596i | 0.340742 | + | 0.557650i | ||||
\(601\) | 3.12538 | + | 13.6932i | 0.127487 | + | 0.558557i | 0.997814 | + | 0.0660831i | \(0.0210502\pi\) |
−0.870327 | + | 0.492474i | \(0.836093\pi\) | |||||||
\(602\) | 20.2366 | + | 0.0890270i | 0.824781 | + | 0.00362847i | ||||
\(603\) | −2.48748 | − | 0.567752i | −0.101298 | − | 0.0231207i | ||||
\(604\) | −3.74279 | − | 4.53678i | −0.152292 | − | 0.184599i | ||||
\(605\) | 3.93625 | + | 5.77342i | 0.160031 | + | 0.234723i | ||||
\(606\) | 44.9300 | − | 36.4445i | 1.82516 | − | 1.48046i | ||||
\(607\) | −8.31437 | − | 14.4009i | −0.337470 | − | 0.584515i | 0.646486 | − | 0.762926i | \(-0.276238\pi\) |
−0.983956 | + | 0.178411i | \(0.942904\pi\) | |||||||
\(608\) | 9.90342 | + | 8.45235i | 0.401637 | + | 0.342788i | ||||
\(609\) | −6.19076 | − | 0.0786084i | −0.250862 | − | 0.00318537i | ||||
\(610\) | 0.198894 | − | 0.0165658i | 0.00805299 | − | 0.000670728i | ||||
\(611\) | −15.2796 | + | 22.4110i | −0.618146 | + | 0.906654i | ||||
\(612\) | 1.23027 | + | 13.4235i | 0.0497307 | + | 0.542612i | ||||
\(613\) | −29.4487 | + | 31.7382i | −1.18942 | + | 1.28189i | −0.238968 | + | 0.971027i | \(0.576809\pi\) |
−0.950454 | + | 0.310865i | \(0.899381\pi\) | |||||||
\(614\) | 25.6392 | − | 17.7939i | 1.03471 | − | 0.718104i | ||||
\(615\) | 39.5411 | − | 19.0420i | 1.59445 | − | 0.767846i | ||||
\(616\) | −17.6475 | − | 8.23500i | −0.711040 | − | 0.331797i | ||||
\(617\) | −14.1832 | − | 6.83025i | −0.570993 | − | 0.274976i | 0.126028 | − | 0.992027i | \(-0.459777\pi\) |
−0.697021 | + | 0.717051i | \(0.745491\pi\) | |||||||
\(618\) | −63.5100 | + | 10.1122i | −2.55475 | + | 0.406774i | ||||
\(619\) | −6.65331 | − | 3.84129i | −0.267419 | − | 0.154394i | 0.360295 | − | 0.932838i | \(-0.382676\pi\) |
−0.627714 | + | 0.778444i | \(0.716009\pi\) | |||||||
\(620\) | −3.37442 | + | 25.2210i | −0.135520 | + | 1.01290i | ||||
\(621\) | −0.414457 | + | 2.74974i | −0.0166316 | + | 0.110343i | ||||
\(622\) | 9.73311 | − | 14.5335i | 0.390262 | − | 0.582740i | ||||
\(623\) | 3.99192 | − | 2.64803i | 0.159933 | − | 0.106091i | ||||
\(624\) | 59.7129 | − | 20.6128i | 2.39043 | − | 0.825171i | ||||
\(625\) | −0.636298 | − | 8.49080i | −0.0254519 | − | 0.339632i | ||||
\(626\) | 7.36413 | + | 5.77339i | 0.294330 | + | 0.230751i | ||||
\(627\) | −13.9125 | + | 5.46026i | −0.555612 | + | 0.218062i | ||||
\(628\) | −9.24418 | + | 20.0398i | −0.368883 | + | 0.799676i | ||||
\(629\) | −9.30424 | + | 7.41988i | −0.370984 | + | 0.295850i | ||||
\(630\) | 16.5340 | − | 11.1665i | 0.658731 | − | 0.444883i | ||||
\(631\) | 12.2743 | − | 15.3915i | 0.488632 | − | 0.612725i | −0.474991 | − | 0.879991i | \(-0.657549\pi\) |
0.963623 | + | 0.267266i | \(0.0861201\pi\) | |||||||
\(632\) | −33.1456 | + | 3.31538i | −1.31846 | + | 0.131879i | ||||
\(633\) | 3.28588 | − | 43.8470i | 0.130602 | − | 1.74276i | ||||
\(634\) | −2.20009 | + | 10.0218i | −0.0873766 | + | 0.398017i | ||||
\(635\) | −8.17474 | − | 8.81028i | −0.324405 | − | 0.349625i | ||||
\(636\) | −0.635933 | − | 0.570716i | −0.0252164 | − | 0.0226304i | ||||
\(637\) | 30.9493 | − | 31.7015i | 1.22626 | − | 1.25606i | ||||
\(638\) | 3.22324 | + | 1.23426i | 0.127609 | + | 0.0488649i | ||||
\(639\) | −33.7707 | + | 31.3346i | −1.33595 | + | 1.23958i | ||||
\(640\) | 12.4881 | + | 13.9185i | 0.493634 | + | 0.550175i | ||||
\(641\) | 2.20002 | − | 29.3572i | 0.0868955 | − | 1.15954i | −0.767898 | − | 0.640572i | \(-0.778697\pi\) |
0.854794 | − | 0.518968i | \(-0.173684\pi\) | |||||||
\(642\) | 29.3175 | − | 32.1274i | 1.15707 | − | 1.26797i | ||||
\(643\) | −2.58245 | − | 2.05943i | −0.101842 | − | 0.0812161i | 0.571245 | − | 0.820780i | \(-0.306461\pi\) |
−0.673087 | + | 0.739563i | \(0.735032\pi\) | |||||||
\(644\) | −23.4492 | + | 11.4054i | −0.924029 | + | 0.449435i | ||||
\(645\) | 17.4392 | − | 13.9073i | 0.686669 | − | 0.547600i | ||||
\(646\) | −0.451890 | + | 6.78510i | −0.0177794 | + | 0.266956i | ||||
\(647\) | 0.0279662 | + | 0.0712567i | 0.00109946 | + | 0.00280139i | 0.931422 | − | 0.363940i | \(-0.118569\pi\) |
−0.930323 | + | 0.366741i | \(0.880473\pi\) | |||||||
\(648\) | −4.06109 | − | 23.0370i | −0.159535 | − | 0.904979i | ||||
\(649\) | −1.31373 | − | 17.5306i | −0.0515686 | − | 0.688135i | ||||
\(650\) | 20.0994 | + | 2.85914i | 0.788365 | + | 0.112145i | ||||
\(651\) | −50.6236 | − | 4.44074i | −1.98409 | − | 0.174046i | ||||
\(652\) | 26.7458 | + | 37.8633i | 1.04745 | + | 1.48284i | ||||
\(653\) | −2.91085 | + | 19.3122i | −0.113910 | + | 0.755745i | 0.856827 | + | 0.515603i | \(0.172432\pi\) |
−0.970738 | + | 0.240142i | \(0.922806\pi\) | |||||||
\(654\) | −47.6395 | + | 11.2901i | −1.86285 | + | 0.441478i | ||||
\(655\) | 9.09503 | − | 15.7530i | 0.355372 | − | 0.615523i | ||||
\(656\) | −34.3545 | + | 25.1321i | −1.34132 | + | 0.981243i | ||||
\(657\) | 31.4012 | + | 15.1220i | 1.22508 | + | 0.589966i | ||||
\(658\) | 2.45966 | − | 15.8455i | 0.0958877 | − | 0.617721i | ||||
\(659\) | −14.3815 | − | 29.8635i | −0.560224 | − | 1.16332i | −0.968166 | − | 0.250310i | \(-0.919468\pi\) |
0.407942 | − | 0.913008i | \(-0.366247\pi\) | |||||||
\(660\) | −20.8450 | + | 5.12309i | −0.811389 | + | 0.199416i | ||||
\(661\) | 0.560032 | − | 0.603571i | 0.0217827 | − | 0.0234762i | −0.722067 | − | 0.691824i | \(-0.756808\pi\) |
0.743849 | + | 0.668347i | \(0.232998\pi\) | |||||||
\(662\) | 17.9365 | − | 8.82184i | 0.697121 | − | 0.342871i | ||||
\(663\) | 27.2601 | + | 18.5856i | 1.05869 | + | 0.721805i | ||||
\(664\) | 9.34002 | − | 12.3295i | 0.362463 | − | 0.478478i | ||||
\(665\) | 9.12292 | − | 4.25153i | 0.353772 | − | 0.164867i | ||||
\(666\) | −18.9044 | + | 17.8349i | −0.732532 | + | 0.691090i | ||||
\(667\) | 4.00231 | − | 2.31073i | 0.154970 | − | 0.0894719i | ||||
\(668\) | 16.6866 | − | 5.45199i | 0.645624 | − | 0.210944i | ||||
\(669\) | 23.3557 | + | 34.2566i | 0.902985 | + | 1.32444i | ||||
\(670\) | −1.60856 | − | 0.910989i | −0.0621440 | − | 0.0351946i | ||||
\(671\) | 0.0494449 | − | 0.216632i | 0.00190880 | − | 0.00836299i | ||||
\(672\) | −26.6333 | + | 26.1787i | −1.02740 | + | 1.00987i | ||||
\(673\) | −0.161867 | − | 0.709186i | −0.00623952 | − | 0.0273371i | 0.971712 | − | 0.236168i | \(-0.0758914\pi\) |
−0.977952 | + | 0.208831i | \(0.933034\pi\) | |||||||
\(674\) | 4.81474 | − | 16.0816i | 0.185457 | − | 0.619439i | ||||
\(675\) | −0.377265 | + | 1.22306i | −0.0145209 | + | 0.0470757i | ||||
\(676\) | 18.9321 | − | 50.6963i | 0.728158 | − | 1.94986i | ||||
\(677\) | −4.07964 | − | 13.2259i | −0.156793 | − | 0.508312i | 0.842757 | − | 0.538294i | \(-0.180931\pi\) |
−0.999550 | + | 0.0299824i | \(0.990455\pi\) | |||||||
\(678\) | −55.7498 | + | 17.7045i | −2.14106 | + | 0.679936i | ||||
\(679\) | −0.805238 | + | 0.237229i | −0.0309022 | + | 0.00910402i | ||||
\(680\) | −1.93558 | + | 9.57278i | −0.0742261 | + | 0.367099i | ||||
\(681\) | 21.4637 | − | 54.6887i | 0.822492 | − | 2.09568i | ||||
\(682\) | 25.6253 | + | 12.0796i | 0.981244 | + | 0.462552i | ||||
\(683\) | −2.59893 | − | 17.2428i | −0.0994453 | − | 0.659777i | −0.981903 | − | 0.189385i | \(-0.939351\pi\) |
0.882458 | − | 0.470392i | \(-0.155887\pi\) | |||||||
\(684\) | 0.246445 | + | 14.8488i | 0.00942305 | + | 0.567757i | ||||
\(685\) | 10.2113i | 0.390155i | ||||||||
\(686\) | −8.46224 | + | 24.7869i | −0.323090 | + | 0.946368i | ||||
\(687\) | 0.111579 | 0.00425699 | ||||||||
\(688\) | −14.1805 | + | 16.3384i | −0.540626 | + | 0.622897i | ||||
\(689\) | −1.07158 | + | 0.161515i | −0.0408241 | + | 0.00615324i | ||||
\(690\) | −12.2552 | + | 25.9979i | −0.466549 | + | 0.989723i | ||||
\(691\) | −3.35406 | − | 1.31637i | −0.127594 | − | 0.0500771i | 0.300685 | − | 0.953724i | \(-0.402785\pi\) |
−0.428279 | + | 0.903646i | \(0.640880\pi\) | |||||||
\(692\) | 3.52311 | + | 21.0031i | 0.133929 | + | 0.798419i | ||||
\(693\) | −6.27731 | − | 21.3074i | −0.238455 | − | 0.809400i | ||||
\(694\) | −35.7245 | + | 11.3450i | −1.35608 | + | 0.430652i | ||||
\(695\) | −6.06760 | + | 1.87161i | −0.230157 | + | 0.0709941i | ||||
\(696\) | 4.37972 | − | 4.96243i | 0.166013 | − | 0.188100i | ||||
\(697\) | −21.2438 | − | 6.55284i | −0.804666 | − | 0.248206i | ||||
\(698\) | −40.2633 | − | 12.0546i | −1.52399 | − | 0.456274i | ||||
\(699\) | 55.6426 | − | 12.7001i | 2.10460 | − | 0.480360i | ||||
\(700\) | −11.4549 | + | 3.58233i | −0.432955 | + | 0.135399i | ||||
\(701\) | 12.8938 | + | 2.94293i | 0.486993 | + | 0.111153i | 0.458965 | − | 0.888454i | \(-0.348220\pi\) |
0.0280277 | + | 0.999607i | \(0.491077\pi\) | |||||||
\(702\) | 4.39502 | + | 2.48907i | 0.165879 | + | 0.0939440i | ||||
\(703\) | −10.8328 | + | 7.38570i | −0.408568 | + | 0.278557i | ||||
\(704\) | 18.9773 | − | 8.56105i | 0.715234 | − | 0.322657i | ||||
\(705\) | −8.83729 | − | 15.3066i | −0.332832 | − | 0.576481i | ||||
\(706\) | 24.8601 | + | 26.3509i | 0.935622 | + | 0.991728i | ||||
\(707\) | 18.3223 | + | 39.3159i | 0.689081 | + | 1.47863i | ||||
\(708\) | −32.3746 | − | 9.40079i | −1.21671 | − | 0.353303i | ||||
\(709\) | 3.40193 | − | 4.98971i | 0.127762 | − | 0.187393i | −0.757028 | − | 0.653383i | \(-0.773349\pi\) |
0.884790 | + | 0.465990i | \(0.154302\pi\) | |||||||
\(710\) | −29.9515 | + | 14.7313i | −1.12406 | + | 0.552855i | ||||
\(711\) | −27.8524 | − | 25.8432i | −1.04455 | − | 0.969197i | ||||
\(712\) | −0.636980 | + | 5.08133i | −0.0238718 | + | 0.190431i | ||||
\(713\) | 34.1765 | − | 16.4585i | 1.27992 | − | 0.616377i | ||||
\(714\) | −19.2739 | − | 2.99185i | −0.721309 | − | 0.111967i | ||||
\(715\) | −11.8118 | + | 24.5274i | −0.441735 | + | 0.917272i | ||||
\(716\) | 5.16511 | + | 1.08905i | 0.193029 | + | 0.0406998i | ||||
\(717\) | −33.5312 | − | 19.3592i | −1.25224 | − | 0.722984i | ||||
\(718\) | 14.5154 | − | 3.44001i | 0.541710 | − | 0.128380i | ||||
\(719\) | 10.0528 | + | 1.51522i | 0.374908 | + | 0.0565083i | 0.333794 | − | 0.942646i | \(-0.391671\pi\) |
0.0411142 | + | 0.999154i | \(0.486909\pi\) | |||||||
\(720\) | −2.47729 | + | 21.1847i | −0.0923230 | + | 0.789508i | ||||
\(721\) | 4.21348 | − | 48.0328i | 0.156918 | − | 1.78884i | ||||
\(722\) | 2.72908 | − | 19.1851i | 0.101566 | − | 0.713997i | ||||
\(723\) | −72.6742 | + | 5.44618i | −2.70278 | + | 0.202546i | ||||
\(724\) | 26.3374 | − | 15.7944i | 0.978823 | − | 0.586994i | ||||
\(725\) | 1.98009 | − | 0.777129i | 0.0735388 | − | 0.0288619i | ||||
\(726\) | 0.991380 | − | 14.8855i | 0.0367936 | − | 0.552454i | ||||
\(727\) | −5.00609 | − | 6.27744i | −0.185666 | − | 0.232817i | 0.680284 | − | 0.732949i | \(-0.261856\pi\) |
−0.865950 | + | 0.500131i | \(0.833285\pi\) | |||||||
\(728\) | 4.11519 | + | 47.1838i | 0.152519 | + | 1.74875i | ||||
\(729\) | 19.2694 | − | 24.1631i | 0.713682 | − | 0.894929i | ||||
\(730\) | 18.6528 | + | 17.0215i | 0.690372 | + | 0.629992i | ||||
\(731\) | −11.2675 | − | 0.844383i | −0.416744 | − | 0.0312306i | ||||
\(732\) | −0.356003 | − | 0.234160i | −0.0131582 | − | 0.00865481i | ||||
\(733\) | 5.12209 | + | 5.52030i | 0.189189 | + | 0.203897i | 0.820522 | − | 0.571614i | \(-0.193683\pi\) |
−0.631334 | + | 0.775511i | \(0.717492\pi\) | |||||||
\(734\) | 19.9333 | + | 7.63300i | 0.735753 | + | 0.281739i | ||||
\(735\) | 9.86136 | + | 27.1327i | 0.363742 | + | 1.00081i | ||||
\(736\) | 7.10475 | − | 26.9557i | 0.261885 | − | 0.993599i | ||||
\(737\) | −1.50871 | + | 1.39988i | −0.0555742 | + | 0.0515653i | ||||
\(738\) | −47.4221 | − | 10.4106i | −1.74563 | − | 0.383218i | ||||
\(739\) | −42.6607 | − | 3.19698i | −1.56930 | − | 0.117603i | −0.738530 | − | 0.674220i | \(-0.764480\pi\) |
−0.830769 | + | 0.556617i | \(0.812099\pi\) | |||||||
\(740\) | −16.8276 | + | 8.45059i | −0.618596 | + | 0.310650i | ||||
\(741\) | 28.4186 | + | 22.6631i | 1.04398 | + | 0.832550i | ||||
\(742\) | 0.530916 | − | 0.358561i | 0.0194905 | − | 0.0131632i | ||||
\(743\) | 18.5600 | + | 23.2735i | 0.680899 | + | 0.853820i | 0.995437 | − | 0.0954247i | \(-0.0304209\pi\) |
−0.314538 | + | 0.949245i | \(0.601849\pi\) | |||||||
\(744\) | 38.8922 | − | 37.9313i | 1.42586 | − | 1.39063i | ||||
\(745\) | 8.28602 | + | 21.1124i | 0.303576 | + | 0.773499i | ||||
\(746\) | −9.61377 | + | 12.2627i | −0.351985 | + | 0.448968i | ||||
\(747\) | 17.5935 | − | 1.31845i | 0.643713 | − | 0.0482396i | ||||
\(748\) | 9.50558 | + | 5.27969i | 0.347558 | + | 0.193045i | ||||
\(749\) | 18.0262 | + | 27.1746i | 0.658663 | + | 0.992937i | ||||
\(750\) | −23.5884 | + | 35.2223i | −0.861328 | + | 1.28614i | ||||
\(751\) | 22.5558 | + | 3.39974i | 0.823072 | + | 0.124058i | 0.547057 | − | 0.837095i | \(-0.315748\pi\) |
0.276015 | + | 0.961153i | \(0.410986\pi\) | |||||||
\(752\) | 11.1270 | + | 13.0404i | 0.405760 | + | 0.475535i | ||||
\(753\) | 14.8319 | − | 25.6896i | 0.540505 | − | 0.936183i | ||||
\(754\) | −1.31992 | − | 8.28979i | −0.0480688 | − | 0.301896i | ||||
\(755\) | 2.10888 | − | 4.37913i | 0.0767499 | − | 0.159373i | ||||
\(756\) | −2.97849 | − | 0.211534i | −0.108327 | − | 0.00769341i | ||||
\(757\) | −3.31534 | − | 6.88437i | −0.120498 | − | 0.250217i | 0.831991 | − | 0.554789i | \(-0.187201\pi\) |
−0.952489 | + | 0.304572i | \(0.901487\pi\) | |||||||
\(758\) | −25.0202 | + | 17.3643i | −0.908773 | + | 0.630700i | ||||
\(759\) | 23.4570 | + | 21.7650i | 0.851437 | + | 0.790018i | ||||
\(760\) | −2.91463 | + | 10.3576i | −0.105725 | + | 0.375710i | ||||
\(761\) | −16.5589 | − | 11.2897i | −0.600259 | − | 0.409250i | 0.224711 | − | 0.974425i | \(-0.427856\pi\) |
−0.824971 | + | 0.565176i | \(0.808808\pi\) | |||||||
\(762\) | 2.12981 | + | 25.5712i | 0.0771549 | + | 0.926347i | ||||
\(763\) | 0.466066 | − | 36.7047i | 0.0168727 | − | 1.32880i | ||||
\(764\) | −6.11374 | − | 14.8482i | −0.221187 | − | 0.537189i | ||||
\(765\) | −9.64738 | + | 5.56992i | −0.348802 | + | 0.201381i | ||||
\(766\) | −34.6141 | + | 28.0768i | −1.25066 | + | 1.01446i | ||||
\(767\) | −35.3259 | + | 24.0848i | −1.27554 | + | 0.869651i | ||||
\(768\) | −2.64826 | − | 39.8357i | −0.0955608 | − | 1.43745i | ||||
\(769\) | −1.86621 | + | 8.17641i | −0.0672973 | + | 0.294849i | −0.997366 | − | 0.0725377i | \(-0.976890\pi\) |
0.930068 | + | 0.367387i | \(0.119747\pi\) | |||||||
\(770\) | 0.0708013 | − | 16.0937i | 0.00255150 | − | 0.579977i | ||||
\(771\) | 42.7178 | − | 9.75007i | 1.53845 | − | 0.351140i | ||||
\(772\) | −1.30039 | + | 1.68734i | −0.0468020 | + | 0.0607285i | ||||
\(773\) | 0.112689 | − | 0.365328i | 0.00405314 | − | 0.0131399i | −0.953524 | − | 0.301318i | \(-0.902573\pi\) |
0.957577 | + | 0.288178i | \(0.0930496\pi\) | |||||||
\(774\) | −24.6753 | + | 0.204753i | −0.886934 | + | 0.00735971i | ||||
\(775\) | 16.6839 | − | 5.14629i | 0.599302 | − | 0.184860i | ||||
\(776\) | 0.369128 | − | 0.817985i | 0.0132509 | − | 0.0293640i | ||||
\(777\) | −18.3881 | − | 32.8041i | −0.659669 | − | 1.17684i | ||||
\(778\) | −7.79230 | − | 13.2417i | −0.279368 | − | 0.474737i | ||||
\(779\) | −22.7996 | − | 8.94819i | −0.816881 | − | 0.320602i | ||||
\(780\) | 36.1386 | + | 37.6744i | 1.29397 | + | 1.34896i | ||||
\(781\) | 5.53859 | + | 36.7461i | 0.198186 | + | 1.31488i | ||||
\(782\) | 13.5083 | − | 5.43139i | 0.483055 | − | 0.194226i | ||||
\(783\) | 0.529213 | 0.0189125 | ||||||||
\(784\) | −14.1886 | − | 24.1388i | −0.506737 | − | 0.862101i | ||||
\(785\) | −18.2383 | −0.650952 | ||||||||
\(786\) | −36.0322 | + | 14.4878i | −1.28523 | + | 0.516762i | ||||
\(787\) | −1.94990 | − | 12.9368i | −0.0695065 | − | 0.461145i | −0.996326 | − | 0.0856389i | \(-0.972707\pi\) |
0.926820 | − | 0.375506i | \(-0.122531\pi\) | |||||||
\(788\) | −13.4801 | − | 14.0530i | −0.480207 | − | 0.500616i | ||||
\(789\) | −9.91621 | − | 3.89182i | −0.353026 | − | 0.138553i | ||||
\(790\) | −13.9617 | − | 23.7255i | −0.496734 | − | 0.844115i | ||||
\(791\) | −2.72185 | − | 43.7717i | −0.0967777 | − | 1.55634i | ||||
\(792\) | 21.6447 | + | 9.76749i | 0.769109 | + | 0.347072i | ||||
\(793\) | −0.516404 | + | 0.159289i | −0.0183380 | + | 0.00565654i | ||||
\(794\) | −37.4647 | + | 0.310879i | −1.32957 | + | 0.0110327i | ||||
\(795\) | 0.208141 | − | 0.674777i | 0.00738201 | − | 0.0239319i | ||||
\(796\) | −8.88838 | + | 11.5332i | −0.315040 | + | 0.408784i | ||||
\(797\) | −32.0982 | + | 7.32620i | −1.13698 | + | 0.259507i | −0.749263 | − | 0.662273i | \(-0.769592\pi\) |
−0.387713 | + | 0.921780i | \(0.626735\pi\) | |||||||
\(798\) | −20.9287 | − | 4.87379i | −0.740866 | − | 0.172530i | ||||
\(799\) | −1.99228 | + | 8.72873i | −0.0704817 | + | 0.308800i | ||||
\(800\) | 5.08276 | − | 11.7810i | 0.179703 | − | 0.416521i | ||||
\(801\) | −4.82624 | + | 3.29047i | −0.170527 | + | 0.116263i | ||||
\(802\) | 11.4413 | − | 9.28048i | 0.404006 | − | 0.327705i | ||||
\(803\) | 24.3473 | − | 14.0569i | 0.859199 | − | 0.496059i | ||||
\(804\) | 1.50269 | + | 3.64952i | 0.0529958 | + | 0.128709i | ||||
\(805\) | −16.6761 | − | 13.6487i | −0.587754 | − | 0.481053i | ||||
\(806\) | −5.71882 | − | 68.6621i | −0.201437 | − | 2.41852i | ||||
\(807\) | 41.9736 | + | 28.6171i | 1.47754 | + | 1.00737i | ||||
\(808\) | −44.6369 | − | 12.5608i | −1.57032 | − | 0.441888i | ||||
\(809\) | 20.6466 | + | 19.1572i | 0.725895 | + | 0.673532i | 0.953899 | − | 0.300128i | \(-0.0970293\pi\) |
−0.228004 | + | 0.973660i | \(0.573220\pi\) | |||||||
\(810\) | 15.8816 | − | 11.0221i | 0.558024 | − | 0.387276i | ||||
\(811\) | 3.17871 | + | 6.60066i | 0.111620 | + | 0.231780i | 0.949294 | − | 0.314389i | \(-0.101800\pi\) |
−0.837675 | + | 0.546170i | \(0.816085\pi\) | |||||||
\(812\) | 2.81143 | + | 4.08927i | 0.0986619 | + | 0.143505i | ||||
\(813\) | −3.53565 | + | 7.34186i | −0.124001 | + | 0.257490i | ||||
\(814\) | 3.29651 | + | 20.7037i | 0.115542 | + | 0.725665i | ||||
\(815\) | −19.1550 | + | 33.1775i | −0.670971 | + | 1.16216i | ||||
\(816\) | 15.8619 | − | 13.5345i | 0.555279 | − | 0.473803i | ||||
\(817\) | −12.3093 | − | 1.85533i | −0.430649 | − | 0.0649099i | ||||
\(818\) | −21.8507 | + | 32.6275i | −0.763992 | + | 1.14079i | ||||
\(819\) | −37.2448 | + | 39.1319i | −1.30144 | + | 1.36738i | ||||
\(820\) | −30.7518 | − | 17.0805i | −1.07390 | − | 0.596478i | ||||
\(821\) | 5.48691 | − | 0.411187i | 0.191495 | − | 0.0143505i | 0.0213625 | − | 0.999772i | \(-0.493200\pi\) |
0.170132 | + | 0.985421i | \(0.445581\pi\) | |||||||
\(822\) | 13.4509 | − | 17.1571i | 0.469155 | − | 0.598421i | ||||
\(823\) | −14.3314 | − | 36.5157i | −0.499560 | − | 1.27286i | −0.929106 | − | 0.369814i | \(-0.879422\pi\) |
0.429546 | − | 0.903045i | \(-0.358674\pi\) | |||||||
\(824\) | 35.9902 | + | 36.9018i | 1.25378 | + | 1.28554i | ||||
\(825\) | 9.18297 | + | 11.5151i | 0.319710 | + | 0.400903i | ||||
\(826\) | 12.7341 | − | 21.8338i | 0.443077 | − | 0.759694i | ||||
\(827\) | 30.4056 | + | 24.2477i | 1.05731 | + | 0.843175i | 0.988005 | − | 0.154421i | \(-0.0493511\pi\) |
0.0693028 | + | 0.997596i | \(0.477923\pi\) | |||||||
\(828\) | 28.4144 | − | 14.2693i | 0.987470 | − | 0.495893i | ||||
\(829\) | −18.6723 | − | 1.39930i | −0.648516 | − | 0.0485996i | −0.253589 | − | 0.967312i | \(-0.581611\pi\) |
−0.394927 | + | 0.918712i | \(0.629230\pi\) | |||||||
\(830\) | 12.4855 | + | 2.74093i | 0.433377 | + | 0.0951392i | ||||
\(831\) | −6.40367 | + | 5.94174i | −0.222141 | + | 0.206117i | ||||
\(832\) | −41.1086 | − | 29.5601i | −1.42518 | − | 1.02481i | ||||
\(833\) | 5.68666 | − | 13.4730i | 0.197031 | − | 0.466812i | ||||
\(834\) | 12.6602 | + | 4.84790i | 0.438385 | + | 0.167869i | ||||
\(835\) | 9.86755 | + | 10.6347i | 0.341481 | + | 0.368029i | ||||
\(836\) | 10.0085 | + | 6.58305i | 0.346150 | + | 0.227680i | ||||
\(837\) | 4.33164 | + | 0.324612i | 0.149723 | + | 0.0112202i | ||||
\(838\) | 26.8051 | + | 24.4608i | 0.925968 | + | 0.844984i | ||||
\(839\) | 14.8712 | − | 18.6479i | 0.513410 | − | 0.643796i | −0.455785 | − | 0.890090i | \(-0.650641\pi\) |
0.969195 | + | 0.246294i | \(0.0792129\pi\) | |||||||
\(840\) | −28.8645 | − | 10.9241i | −0.995919 | − | 0.376918i | ||||
\(841\) | 17.5328 | + | 21.9855i | 0.604581 | + | 0.758120i | ||||
\(842\) | 1.07845 | − | 16.1929i | 0.0371659 | − | 0.558044i | ||||
\(843\) | −44.6022 | + | 17.5051i | −1.53618 | + | 0.602907i | ||||
\(844\) | −30.2249 | + | 18.1257i | −1.04039 | + | 0.623913i | ||||
\(845\) | 44.5972 | − | 3.34209i | 1.53419 | − | 0.114972i | ||||
\(846\) | −2.75368 | + | 19.3581i | −0.0946735 | + | 0.665543i | ||||
\(847\) | 10.6457 | + | 3.43238i | 0.365790 | + | 0.117938i | ||||
\(848\) | −0.0795470 | + | 0.680253i | −0.00273165 | + | 0.0233600i | ||||
\(849\) | 38.0609 | + | 5.73675i | 1.30625 | + | 0.196885i | ||||
\(850\) | 6.52064 | − | 1.54533i | 0.223656 | − | 0.0530044i | ||||
\(851\) | 24.3103 | + | 14.0356i | 0.833347 | + | 0.481133i | ||||
\(852\) | 69.7292 | + | 14.7022i | 2.38888 | + | 0.503691i | ||||
\(853\) | 6.39922 | − | 13.2881i | 0.219105 | − | 0.454976i | −0.762224 | − | 0.647314i | \(-0.775892\pi\) |
0.981329 | + | 0.192337i | \(0.0616067\pi\) | |||||||
\(854\) | 0.235150 | − | 0.216270i | 0.00804666 | − | 0.00740060i | ||||
\(855\) | −11.0575 | + | 5.32502i | −0.378159 | + | 0.182112i | ||||
\(856\) | −34.5907 | − | 4.33618i | −1.18228 | − | 0.148208i | ||||
\(857\) | −23.1167 | − | 21.4491i | −0.789651 | − | 0.732689i | 0.178260 | − | 0.983983i | \(-0.442953\pi\) |
−0.967911 | + | 0.251295i | \(0.919144\pi\) | |||||||
\(858\) | 52.1549 | − | 25.6517i | 1.78054 | − | 0.875736i | ||||
\(859\) | −2.08452 | + | 3.05743i | −0.0711228 | + | 0.104318i | −0.860152 | − | 0.510037i | \(-0.829632\pi\) |
0.789029 | + | 0.614355i | \(0.210584\pi\) | |||||||
\(860\) | −17.1694 | − | 4.98558i | −0.585473 | − | 0.170007i | ||||
\(861\) | 31.2825 | − | 62.9030i | 1.06610 | − | 2.14373i | ||||
\(862\) | −23.3829 | − | 24.7851i | −0.796425 | − | 0.844184i | ||||
\(863\) | 8.97267 | + | 15.5411i | 0.305433 | + | 0.529026i | 0.977358 | − | 0.211594i | \(-0.0678654\pi\) |
−0.671924 | + | 0.740620i | \(0.734532\pi\) | |||||||
\(864\) | 2.24795 | − | 2.26641i | 0.0764769 | − | 0.0771049i | ||||
\(865\) | −14.5416 | + | 9.91430i | −0.494429 | + | 0.337096i | ||||
\(866\) | −47.6046 | − | 26.9603i | −1.61767 | − | 0.916149i | ||||
\(867\) | −30.7380 | − | 7.01574i | −1.04392 | − | 0.238267i | ||||
\(868\) | 20.5034 | + | 35.1954i | 0.695932 | + | 1.19461i | ||||
\(869\) | −29.8803 | + | 6.81998i | −1.01362 | + | 0.231352i | ||||
\(870\) | 5.24000 | + | 1.56883i | 0.177653 | + | 0.0531883i | ||||
\(871\) | 4.78312 | + | 1.47540i | 0.162070 | + | 0.0499920i | ||||
\(872\) | 29.4220 | + | 25.9672i | 0.996355 | + | 0.879359i | ||||
\(873\) | 0.978132 | − | 0.301714i | 0.0331048 | − | 0.0102115i | ||||
\(874\) | 15.2878 | − | 4.85495i | 0.517118 | − | 0.164221i | ||||
\(875\) | −21.3207 | − | 23.5715i | −0.720770 | − | 0.796863i | ||||
\(876\) | −8.91884 | − | 53.1699i | −0.301340 | − | 1.79644i | ||||
\(877\) | 28.2393 | + | 11.0831i | 0.953574 | + | 0.374250i | 0.790567 | − | 0.612375i | \(-0.209786\pi\) |
0.163006 | + | 0.986625i | \(0.447881\pi\) | |||||||
\(878\) | 9.90266 | − | 21.0072i | 0.334198 | − | 0.708959i | ||||
\(879\) | −5.44653 | + | 0.820932i | −0.183707 | + | 0.0276893i | ||||
\(880\) | 12.9936 | + | 11.2774i | 0.438014 | + | 0.380163i | ||||
\(881\) | −14.6797 | −0.494571 | −0.247285 | − | 0.968943i | \(-0.579539\pi\) | ||||
−0.247285 | + | 0.968943i | \(0.579539\pi\) | |||||||
\(882\) | 9.93403 | − | 30.3530i | 0.334496 | − | 1.02204i | ||||
\(883\) | 43.1546i | 1.45227i | 0.687553 | + | 0.726134i | \(0.258685\pi\) | ||||
−0.687553 | + | 0.726134i | \(0.741315\pi\) | |||||||
\(884\) | −0.438845 | − | 26.4412i | −0.0147599 | − | 0.889315i | ||||
\(885\) | −4.15230 | − | 27.5487i | −0.139578 | − | 0.926041i | ||||
\(886\) | 20.0162 | + | 9.43552i | 0.672459 | + | 0.316992i | ||||
\(887\) | 11.3735 | − | 28.9791i | 0.381884 | − | 0.973023i | −0.602678 | − | 0.797984i | \(-0.705900\pi\) |
0.984562 | − | 0.175039i | \(-0.0560051\pi\) | |||||||
\(888\) | 39.4053 | + | 7.96760i | 1.32236 | + | 0.267375i | ||||
\(889\) | −18.9859 | − | 3.10869i | −0.636767 | − | 0.104262i | ||||
\(890\) | −4.03363 | + | 1.28096i | −0.135208 | + | 0.0429379i | ||||
\(891\) | −6.34391 | − | 20.5665i | −0.212529 | − | 0.689002i | ||||
\(892\) | 11.6260 | − | 31.1322i | 0.389269 | − | 1.04238i | ||||
\(893\) | −2.90743 | + | 9.42565i | −0.0972933 | + | 0.315417i | ||||
\(894\) | 13.8883 | − | 46.3878i | 0.464493 | − | 1.55144i | ||||
\(895\) | 0.970718 | + | 4.25299i | 0.0324475 | + | 0.142162i | ||||
\(896\) | 29.4549 | + | 5.32985i | 0.984020 | + | 0.178058i | ||||
\(897\) | 17.3175 | − | 75.8729i | 0.578214 | − | 2.53332i | ||||
\(898\) | −4.28331 | − | 2.42580i | −0.142936 | − | 0.0809501i | ||||
\(899\) | −4.06662 | − | 5.96464i | −0.135629 | − | 0.198932i | ||||
\(900\) | 13.9112 | − | 4.54519i | 0.463706 | − | 0.151506i | ||||
\(901\) | −0.309783 | + | 0.178853i | −0.0103204 | + | 0.00595846i | ||||
\(902\) | −28.4871 | + | 26.8755i | −0.948517 | + | 0.894856i | ||||
\(903\) | 8.38657 | − | 34.7067i | 0.279088 | − | 1.15497i | ||||
\(904\) | 37.3719 | + | 28.3105i | 1.24297 | + | 0.941592i | ||||
\(905\) | 20.9695 | + | 14.2967i | 0.697049 | + | 0.475240i | ||||
\(906\) | −9.31175 | + | 4.57987i | −0.309362 | + | 0.152156i | ||||
\(907\) | 39.4203 | − | 42.4850i | 1.30893 | − | 1.41069i | 0.454835 | − | 0.890576i | \(-0.349698\pi\) |
0.854096 | − | 0.520116i | \(-0.174111\pi\) | |||||||
\(908\) | −45.7290 | + | 11.2389i | −1.51757 | + | 0.372975i | ||||
\(909\) | −22.9486 | − | 47.6532i | −0.761155 | − | 1.58056i | ||||
\(910\) | −33.9832 | + | 19.4214i | −1.12653 | + | 0.643812i | ||||
\(911\) | −22.5683 | − | 10.8683i | −0.747721 | − | 0.360084i | 0.0209052 | − | 0.999781i | \(-0.493345\pi\) |
−0.768626 | + | 0.639698i | \(0.779059\pi\) | |||||||
\(912\) | 18.5407 | − | 13.5635i | 0.613945 | − | 0.449133i | ||||
\(913\) | 7.11579 | − | 12.3249i | 0.235498 | − | 0.407895i | ||||
\(914\) | −43.3579 | + | 10.2754i | −1.43415 | + | 0.339880i | ||||
\(915\) | 0.0524841 | − | 0.348209i | 0.00173507 | − | 0.0115114i | ||||
\(916\) | −0.0515991 | − | 0.0730474i | −0.00170488 | − | 0.00241355i | ||||
\(917\) | −3.97384 | − | 28.8452i | −0.131228 | − | 0.952551i | ||||
\(918\) | 1.65060 | + | 0.234798i | 0.0544779 | + | 0.00774948i | ||||
\(919\) | 1.79938 | + | 24.0111i | 0.0593561 | + | 0.792052i | 0.944871 | + | 0.327442i | \(0.106186\pi\) |
−0.885515 | + | 0.464610i | \(0.846195\pi\) | |||||||
\(920\) | 22.6875 | − | 3.99948i | 0.747984 | − | 0.131859i | ||||
\(921\) | −20.1173 | − | 51.2582i | −0.662889 | − | 1.68901i | ||||
\(922\) | 1.49414 | − | 22.4345i | 0.0492070 | − | 0.738841i | ||||
\(923\) | 70.6607 | − | 56.3500i | 2.32583 | − | 1.85478i | ||||
\(924\) | −21.3185 | + | 26.9474i | −0.701326 | + | 0.886503i | ||||
\(925\) | 10.1016 | + | 8.05572i | 0.332137 | + | 0.264871i | ||||
\(926\) | 23.8635 | − | 26.1506i | 0.784204 | − | 0.859363i | ||||
\(927\) | −4.39374 | + | 58.6304i | −0.144309 | + | 1.92567i | ||||
\(928\) | −5.27415 | − | 0.572425i | −0.173132 | − | 0.0187908i | ||||
\(929\) | 13.4904 | − | 12.5173i | 0.442607 | − | 0.410679i | −0.427133 | − | 0.904189i | \(-0.640477\pi\) |
0.869741 | + | 0.493509i | \(0.164286\pi\) | |||||||
\(930\) | 41.9274 | + | 16.0551i | 1.37485 | + | 0.526468i | ||||
\(931\) | 7.35680 | − | 14.3337i | 0.241109 | − | 0.469768i | ||||
\(932\) | −34.0461 | − | 30.5545i | −1.11522 | − | 1.00085i | ||||
\(933\) | −20.9915 | − | 22.6235i | −0.687231 | − | 0.740659i | ||||
\(934\) | −1.93540 | + | 8.81612i | −0.0633283 | + | 0.288472i | ||||
\(935\) | −0.671520 | + | 8.96081i | −0.0219611 | + | 0.293050i | ||||
\(936\) | −5.74804 | − | 57.4662i | −0.187881 | − | 1.87834i | ||||
\(937\) | −32.6479 | + | 40.9391i | −1.06656 | + | 1.33742i | −0.128205 | + | 0.991748i | \(0.540921\pi\) |
−0.938354 | + | 0.345675i | \(0.887650\pi\) | |||||||
\(938\) | −2.92801 | + | 0.428162i | −0.0956030 | + | 0.0139800i | ||||
\(939\) | 12.9082 | − | 10.2940i | 0.421244 | − | 0.335931i | ||||
\(940\) | −5.93405 | + | 12.8640i | −0.193547 | + | 0.419578i | ||||
\(941\) | 11.0712 | − | 4.34511i | 0.360909 | − | 0.141647i | −0.177956 | − | 0.984038i | \(-0.556948\pi\) |
0.538865 | + | 0.842392i | \(0.318853\pi\) | |||||||
\(942\) | 30.6439 | + | 24.0244i | 0.998432 | + | 0.782758i | ||||
\(943\) | 3.91883 | + | 52.2931i | 0.127615 | + | 1.70290i | ||||
\(944\) | 8.81707 | + | 25.5421i | 0.286971 | + | 0.831324i | ||||
\(945\) | −0.872302 | − | 2.30835i | −0.0283760 | − | 0.0750906i | ||||
\(946\) | −11.0760 | + | 16.5387i | −0.360112 | + | 0.537720i | ||||
\(947\) | −5.40487 | + | 35.8590i | −0.175635 | + | 1.16526i | 0.711137 | + | 0.703053i | \(0.248180\pi\) |
−0.886772 | + | 0.462207i | \(0.847058\pi\) | |||||||
\(948\) | −7.79412 | + | 58.2546i | −0.253141 | + | 1.89202i | ||||
\(949\) | −59.2143 | − | 34.1874i | −1.92218 | − | 1.10977i | ||||
\(950\) | 7.29102 | − | 1.16090i | 0.236552 | − | 0.0376645i | ||||
\(951\) | 16.3107 | + | 7.85481i | 0.528910 | + | 0.254710i | ||||
\(952\) | 6.95447 | + | 14.0017i | 0.225396 | + | 0.453797i | ||||
\(953\) | −10.1212 | + | 4.87413i | −0.327859 | + | 0.157888i | −0.590571 | − | 0.806986i | \(-0.701097\pi\) |
0.262712 | + | 0.964874i | \(0.415383\pi\) | |||||||
\(954\) | −0.641780 | + | 0.445403i | −0.0207784 | + | 0.0144205i | ||||
\(955\) | 9.02604 | − | 9.72776i | 0.292076 | − | 0.314783i | ||||
\(956\) | 2.83242 | + | 30.9045i | 0.0916069 | + | 0.999523i | ||||
\(957\) | 3.43048 | − | 5.03159i | 0.110892 | − | 0.162648i | ||||
\(958\) | −7.28619 | + | 0.606862i | −0.235406 | + | 0.0196068i | ||||
\(959\) | 10.0283 | + | 12.9080i | 0.323831 | + | 0.416820i | ||||
\(960\) | 28.9768 | − | 15.7769i | 0.935222 | − | 0.509197i | ||||
\(961\) | −14.1269 | − | 24.4685i | −0.455707 | − | 0.789308i | ||||
\(962\) | 39.5982 | − | 32.1196i | 1.27670 | − | 1.03558i | ||||
\(963\) | −22.3996 | − | 32.8541i | −0.721816 | − | 1.05871i | ||||
\(964\) | 37.1734 | + | 45.0592i | 1.19727 | + | 1.45126i | ||||
\(965\) | −1.71636 | − | 0.391747i | −0.0552515 | − | 0.0126108i | ||||
\(966\) | 10.0403 | + | 44.8991i | 0.323042 | + | 1.44460i | ||||
\(967\) | −6.86785 | − | 30.0900i | −0.220855 | − | 0.967630i | −0.956836 | − | 0.290628i | \(-0.906136\pi\) |
0.735981 | − | 0.677002i | \(-0.236721\pi\) | |||||||
\(968\) | −10.2036 | + | 6.23472i | −0.327956 | + | 0.200392i | ||||
\(969\) | 11.4650 | + | 3.53650i | 0.368310 | + | 0.113609i | ||||
\(970\) | 0.741611 | − | 0.00615383i | 0.0238117 | − | 0.000197588i | ||||
\(971\) | 0.677496 | + | 2.19639i | 0.0217419 | + | 0.0704854i | 0.965794 | − | 0.259312i | \(-0.0834958\pi\) |
−0.944052 | + | 0.329797i | \(0.893020\pi\) | |||||||
\(972\) | −44.5832 | − | 2.59787i | −1.43001 | − | 0.0833268i | ||||
\(973\) | −5.83189 | + | 8.32472i | −0.186962 | + | 0.266878i | ||||
\(974\) | −9.32985 | + | 5.49031i | −0.298948 | + | 0.175921i | ||||
\(975\) | 13.0866 | − | 33.3442i | 0.419107 | − | 1.06787i | ||||
\(976\) | 0.0113339 | + | 0.341351i | 0.000362790 | + | 0.0109264i | ||||
\(977\) | −54.7803 | + | 8.25680i | −1.75258 | + | 0.264158i | −0.945344 | − | 0.326075i | \(-0.894274\pi\) |
−0.807232 | + | 0.590234i | \(0.799036\pi\) | |||||||
\(978\) | 75.8873 | − | 30.5127i | 2.42661 | − | 0.975688i | ||||
\(979\) | 4.71181i | 0.150590i | ||||||||
\(980\) | 13.2027 | − | 19.0034i | 0.421745 | − | 0.607041i | ||||
\(981\) | 44.7603i | 1.42909i | ||||||||
\(982\) | −17.4534 | − | 43.4079i | −0.556960 | − | 1.38520i | ||||
\(983\) | 38.8799 | − | 5.86020i | 1.24008 | − | 0.186911i | 0.503936 | − | 0.863741i | \(-0.331885\pi\) |
0.736139 | + | 0.676830i | \(0.236647\pi\) | |||||||
\(984\) | 29.1698 | + | 69.2066i | 0.929898 | + | 2.20623i | ||||
\(985\) | 5.87934 | − | 14.9803i | 0.187331 | − | 0.477312i | ||||
\(986\) | −1.40525 | − | 2.38799i | −0.0447524 | − | 0.0760490i | ||||
\(987\) | −26.2034 | − | 10.6700i | −0.834062 | − | 0.339628i | ||||
\(988\) | 1.69481 | − | 29.0853i | 0.0539190 | − | 0.925328i | ||||
\(989\) | 7.85593 | + | 25.4683i | 0.249804 | + | 0.809845i | ||||
\(990\) | 0.162836 | + | 19.6237i | 0.00517527 | + | 0.623683i | ||||
\(991\) | 12.0673 | + | 3.72227i | 0.383330 | + | 0.118242i | 0.480430 | − | 0.877033i | \(-0.340480\pi\) |
−0.0971000 | + | 0.995275i | \(0.530957\pi\) | |||||||
\(992\) | −42.8181 | − | 7.92042i | −1.35948 | − | 0.251474i | ||||
\(993\) | −7.84778 | − | 34.3834i | −0.249042 | − | 1.09112i | ||||
\(994\) | −23.3939 | + | 48.0362i | −0.742010 | + | 1.52362i | ||||
\(995\) | −11.7316 | − | 2.67766i | −0.371916 | − | 0.0848874i | ||||
\(996\) | −17.3676 | − | 21.0518i | −0.550312 | − | 0.667053i | ||||
\(997\) | −20.0613 | − | 29.4246i | −0.635349 | − | 0.931886i | −1.00000 | 0.000741324i | \(-0.999764\pi\) | |
0.364651 | − | 0.931144i | \(-0.381188\pi\) | |||||||
\(998\) | 8.00479 | + | 9.86858i | 0.253387 | + | 0.312384i | ||||
\(999\) | 1.60724 | + | 2.78382i | 0.0508508 | + | 0.0880763i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 392.2.z.a.109.5 | ✓ | 648 | |
8.5 | even | 2 | inner | 392.2.z.a.109.21 | yes | 648 | |
49.9 | even | 21 | inner | 392.2.z.a.205.21 | yes | 648 | |
392.205 | even | 42 | inner | 392.2.z.a.205.5 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
392.2.z.a.109.5 | ✓ | 648 | 1.1 | even | 1 | trivial | |
392.2.z.a.109.21 | yes | 648 | 8.5 | even | 2 | inner | |
392.2.z.a.205.5 | yes | 648 | 392.205 | even | 42 | inner | |
392.2.z.a.205.21 | yes | 648 | 49.9 | even | 21 | inner |